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Ruled Surfaces in 3-Dimensional Riemannian Manifolds Mediterr. J. Math. (IF 1.1) Pub Date : 2024-04-13 Marco Castrillón López, M. Eugenia Rosado, Alberto Soria
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Positivity and Positivity-Definiteness for Cauchy Powers of Linear Functionals on the Linear Space of Polynomials Mediterr. J. Math. (IF 1.1) Pub Date : 2024-04-12 Ridha Sfaxi
In this paper, an exploration is undertaken into positivity and positivity-definiteness within the Cauchy product and self-product, which encompass normalized linear functionals applied to the space of real polynomials. We reveal that for two normalized linear functionals, \(\mathscr {U}\) and \(\mathscr {V}\), the positivity-definiteness of \(\mathscr {V}\mathscr {U}\) and the positivity of \(\mathscr
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On a Class of Integrals of Beta Family: Series Representations and Fractional Maps Mediterr. J. Math. (IF 1.1) Pub Date : 2024-04-11 Dilip Kumar, M. A. Pathan
Two generalized integrals of the beta family are the prime focus of this paper. By taking into account the generalized integral of the beta family, the series and integral representations are created through generalized special functions. Also covered are the fractional maps of Saigo, Riemann–Liouville, and Kober operators with the extended beta function. Results for classical beta function and extended
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A Singular System of Schrödinger-Maxwell Equations Mediterr. J. Math. (IF 1.1) Pub Date : 2024-04-10 Lucio Boccardo, Luigi Orsina
We study existence of solutions for the singular system of Schrödinger-Maxwell equations $$\begin{aligned} \begin{aligned} \left\{ \begin{array}{l} u \in W^{1,2}_{0}(\Omega ):\, -{{\,\text {div}\,}}(A(x)\nabla u) + \psi ^{\theta }\,u^{r-1} = f(x), \\ \psi \in W^{1,2}_{0}(\Omega ):\, -{{\,\text {div}\,}}(B(x)\nabla \psi ) = \dfrac{u^{r}}{\psi ^{1-\theta }}. \end{array} \right. \end{aligned} \end{aligned}$$
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Makar–Limanov Invariants of Nonnormal Affine Toric Varieties Mediterr. J. Math. (IF 1.1) Pub Date : 2024-04-09 Ilya Boldyrev
In this paper, we study the Makar–Limanov invariant and its modifications in the case of not necessary normal affine toric varieties. We prove the equality of the Makar–Limanov invariant and the modified Makar–Limanov invariant in this case.
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On Almost Kenmotsu 3-Manifolds Which Are Conformally Flat Mediterr. J. Math. (IF 1.1) Pub Date : 2024-04-08 Ji-Eun Lee
In this paper, we study conformally flat almost Kenmotsu 3-manifolds such that \(\text {tr} \, h^2\) is a constant and \(\nabla _{\xi }h=-2\alpha h\varphi \) for some constant \(\alpha \). Moreover, we classify conformally flat H-almost Kenmotsu 3-manifolds.
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The Schröedinger–Pauli Equation in a Finite Square Domain Mediterr. J. Math. (IF 1.1) Pub Date : 2024-04-08 Carlo Cattani, Yusif Gasimov
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On p-Frobenius of Affine Semigroups Mediterr. J. Math. (IF 1.1) Pub Date : 2024-04-06 Evelia R. García Barroso, Juan I. García-García, Luis J. Santana Sánchez, Alberto Vigneron-Tenorio
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Abelian Subalgebras and Ideals of Maximal Dimension in Solvable Leibniz Superalgebras Mediterr. J. Math. (IF 1.1) Pub Date : 2024-04-06 Sofiane Bouarroudj, Antonio J. Calderón, Amir Fernández Ouaridi, Rosa María Navarro
We study the invariants \(\alpha \) and \(\beta \), which correspond to the dimension of an abelian subalgebra (ideal resp.) of maximal dimension, in the context of Leibniz superalgebras. We prove that these invariants coincide if there is an abelian subalgebra of codimension one. We also examine the case in which the abelian subalgebras of maximal dimension are of codimension two. Finally, we study
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Exceptional Dehn Surgeries on Some Infinite Series of Hyperbolic Knots and Links Mediterr. J. Math. (IF 1.1) Pub Date : 2024-04-03 Alberto Cavicchioli, Fulvia Spaggiari
We study closed connected orientable 3-manifolds obtained by Dehn surgery along the oriented components of a link, introduced and considered by Motegi and Song (2005) and Ichihara et al. (2008). For such manifolds, we find a finite balanced group presentation of the fundamental group and describe exceptional surgeries. This allows us to construct an infinite family of tunnel number one strongly invertible
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Transforming Radical Differential Equations to Algebraic Differential Equations Mediterr. J. Math. (IF 1.1) Pub Date : 2024-04-02 Sebastian Falkensteiner, J. Rafael Sendra
In this paper, we present an algorithmic procedure that transforms, if possible, a given system of ordinary or partial differential equations with radical dependencies in the unknown function and its derivatives into a system with polynomial relations among them by means of a rational change of variables. The solutions of the given equation and its transformation correspond one-to-one. This work can
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Existence of Periodic Solutions for a Class of p-Laplacian Systems with Delay Mediterr. J. Math. (IF 1.1) Pub Date : 2024-04-01 Chengjun Guo, Xinjie Ye, Junming Liu
The purpose of this article is to study the existence of periodic solutions for the p-Laplacian systems with delay $$\begin{aligned} -(|z'(t)|^{p-2}z'(t))'= & {} f(t,z(t+\tau ),z(t),z(t-\tau )),\\ z(\tau )-z(-\tau )= & {} z'(\tau )-z'(-\tau )=0. \end{aligned}$$ Using the saddle point theorem and the linking theorem, some new existence theorems are obtained for second-order p-Laplacian systems with
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A Regularization Method for Quasivariational Inequalities Mediterr. J. Math. (IF 1.1) Pub Date : 2024-03-29
Abstract The present paper deals with new results in the study of a class of elliptic quasivariational inequalities in Hilbert spaces. We present a regularization method which consist to consider a sequence of regularized elliptic quasivariational inequalities and prove a convergence result when the parameter of regularization is very small using arguments of monotonicity, convexity, and lower semicontinuity
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On Cyclic Actions of Finite Groups Mediterr. J. Math. (IF 1.1) Pub Date : 2024-03-28 Lü Gong, Qilin Chen, Baojun Li
Let A act on a group G. A is said to act p-cyclically on G if \(A^{{\mathfrak {N}}_p {\mathfrak {A}}_{p-1}}\) acts stably on \(G/O_{p'}(G)\), and A is said to act cyclically on G if A acts p-cyclically on G for all primes p. In this paper, the actions of a group A on a p-group or p-soluble group G are investigated and some criteria of an action to be cyclic or p-cyclic are obtained.
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A Class of Meromorphic Functions with Yang’s Conjecture Concerning Periodicity Mediterr. J. Math. (IF 1.1) Pub Date : 2024-03-25 Xinling Liu
In this paper, we first discuss a class of meromorphic functions satisfying a certain property on characteristic functions of Nevanlinna theory and then give the applications of the class to Yang’s conjecture and its variants.
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Triviality and Rigidity of Almost Riemann Solitons Mediterr. J. Math. (IF 1.1) Pub Date : 2024-03-25 Amalendu Ghosh
In this paper, we study some triviality and rigidity results of Riemann soliton. First, we derive some sufficient conditions for which an almost Riemann soliton is trivial. In particular, we prove that any compact almost Riemann soliton with constant scalar curvature has constant sectional curvature. Next, we prove some rigidity results for gradient Riemann solitons. Precisely, we prove that a non-trivial
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Dunkl–Weinstein Multiplier Operators and Applications to Reproducing Kernel Theory Mediterr. J. Math. (IF 1.1) Pub Date : 2024-03-24 Fethi Soltani, Ibrahim Maktouf
In this paper, we have interested on the Dunkl–Weinstein multiplier operators \(\mathscr {M}_{k,\beta ,a}\) on the Dunkl–Weinstein-type Paley–Wiener space \(\mathscr {H}_s\). We give for these operators an application to the reproducing kernel theory; and we deduce for them best approximation on the Paley–Wiener space \(\mathscr {H}_s\). Finally, we give two applications in two particular cases, the
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Product of Resolvents on Hadamard Manifolds Mediterr. J. Math. (IF 1.1) Pub Date : 2024-03-23 Fatemeh Ahmadi, Parviz Ahmadi, Hadi Khatibzadeh
The aim of this paper is to study the product of resolvents of a finite number of monotone vector fields on a Hadamard manifold to approximate both the singular points of their sum and a common singular point among them. For the sum of any finitely many maximal monotone vector fields, with some suitable assumptions, it is proved that the obtained sequence of the iterative method is convergent. The
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The Ground State Solutions of Discrete Nonlinear Schrödinger Equations with Hardy Weights Mediterr. J. Math. (IF 1.1) Pub Date : 2024-03-23 Lidan Wang
In this paper, we study the discrete nonlinear Schrödinger equation $$\begin{aligned} -\Delta u+\left( V(x)- \frac{\rho }{(|x|^2+1)}\right) u=f(x,u),\quad u\in \ell ^2({\mathbb {Z}}^N), \end{aligned}$$ where \(N\ge 3\), V is a bounded periodic potential and 0 lies in a spectral gap of the Schrödinger operator \(-\Delta +V\). The resulting problem engages two major difficulties: one is that the associated
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Mathematical Analysis and a Second-Order Compact Scheme for Nonlinear Caputo–Hadamard Fractional Sub-diffusion Equations Mediterr. J. Math. (IF 1.1) Pub Date : 2024-03-22
Abstract In this paper, a compact finite difference scheme with \(O(\tau ^{\min \{r\alpha ,2\}}+h^4)\) convergence order for nonlinear Caputo–Hadamard fractional sub-differential equations is proposed, where \(\tau \) represents the maximum step size in temporal direction, h represents the step size in spatial direction, and \(\alpha \) is the order and r ( \(r\ge 1\) ) is an optional constant. First
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Observability of Time-Varying Fractional Dynamical Systems with Caputo Fractional Derivative Mediterr. J. Math. (IF 1.1) Pub Date : 2024-03-20
Abstract Modeling dynamical systems with real-life data having time-dependent disturbances is better captured with time-varying systems. The qualitative properties of such a system in a fractional sense are hardly examined. Observability is one property where the system’s initial states are determined based on the output of some observation system. In this paper, we investigate the observability of
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On the Norms of p-Nilpotent Residuals of Subgroups in a Finite Group Mediterr. J. Math. (IF 1.1) Pub Date : 2024-03-20 Baoyu Zhang, Quanfu Yan, Zhencai Shen
Let G be a finite group and p be a prime. We define \(N^{\mathcal {N}_p*}(G)\) to be the intersection of the normalizers of the p-nilpotent residuals of all two-generator subgroups of G whose p-nilpotent residuals are nilpotent. We show that \(N^{\mathcal {N}_p}(G)=N^{\mathcal {N}_p*}(G)\). Using the method in the present paper, we will be able to give an affirmative answer to an open problem in Shen
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Total Torsion and Spherical Curves Bending Mediterr. J. Math. (IF 1.1) Pub Date : 2024-03-20 Marija S. Najdanović, Svetozar R. Rančić, Ljubica S. Velimirović
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Automorphisms in Certain Nilpotent-by-Abelian Varieties of Groups Mediterr. J. Math. (IF 1.1) Pub Date : 2024-03-20 C. E. Kofinas
For positive integers n and k, with \(n \ge 4\), let \(F_{n}\) be the free group of rank n and let \(G_{n,k} = F_{n}/\gamma _{3}(F^{\prime }_{n})[F^{\prime \prime }_{n},~_{k}F_{n}]\). We show that for sufficiently large n, the automorphism group \({\textrm{Aut}}(G_{n,k})\) of \(G_{n,k}\) is generated by the tame automorphisms and one more non-tame automorphism.
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Multiple Lines of Maximum Genus in $${\mathbb {P}}^3$$ Mediterr. J. Math. (IF 1.1) Pub Date : 2024-03-18 Enrico Schlesinger
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Fractal Dimension of $$\alpha $$ -Fractal Functions Without Endpoint Conditions Mediterr. J. Math. (IF 1.1) Pub Date : 2024-03-18
Abstract In this article, we manifest the existence of a new class of \(\alpha \) -fractal functions without endpoint conditions in the space of continuous functions. Furthermore, we add the existence of the same class in numerous spaces such as the Hölder space, the convex Lipschitz space, and the oscillation space. We also estimate the fractal dimensions of the graphs of the newly constructed \(\alpha
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On Spatial Mechanisms in Lorentzian 3-Space Mediterr. J. Math. (IF 1.1) Pub Date : 2024-03-15
Abstract Let \(L^{4}\) be a 4-dimensional Lorentzian space with the sign (−,+,+,+). The aim of this study is to investigate the other missing algebraic forms of the constraint manifolds of 2C and 3C spatial open chains in \(L^{4}\) . For this purpose, firstly, we obtain the structure equations of a spatial open chain using the equations of open chains of the Lorentz plane and Lorentz sphere. After
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Ricci–Bourguignon Soliton on Three-Dimensional Contact Metric Manifolds Mediterr. J. Math. (IF 1.1) Pub Date : 2024-03-15 Mohan Khatri, Jay Prakash Singh
This paper aims to classify a certain type of three-dimensional complete non-Sasakian contact manifold with specific properties, namely \(Q\xi =\sigma \xi \) and admitting Ricci–Bourguignon solitons. In the case of constant \(\sigma \), the paper proves that if the potential vector field of the Ricci–Bourguignon soliton is orthogonal to the Reeb vector field, then the manifold is either Einstein or
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Finite Groups All of Whose Subgroups are $$\mathbb {P}$$ -Subnormal or $${{\,\textrm{TI}\,}}$$ -Subgroups Mediterr. J. Math. (IF 1.1) Pub Date : 2024-03-15 A. Ballester-Bolinches, S. F. Kamornikov, V. Pérez-Calabuig, X. Yi
Let \(\mathbb {P}\) be the set of all prime numbers. A subgroup H of a finite group G is said to be \(\mathbb {P}\)-subnormal in G if there exists a chain of subgroups $$\begin{aligned} H = H_0 \subseteq H_1 \subseteq \cdots \subseteq H_{n-1} \subseteq H_n = G \end{aligned}$$ such that either \(H_{i-1}\) is normal in \(H_i\) or \(|H_i{:}\, H_{i-1}|\) is a prime number for every \(i = 1, 2, \ldots
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Solutions of the Yang–Baxter Equation and Strong Semilattices of Skew Braces Mediterr. J. Math. (IF 1.1) Pub Date : 2024-03-15 Francesco Catino, Marzia Mazzotta, Paola Stefanelli
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Pseudo-Ricci–Yamabe Soliton Real Hypersurfaces in the Complex Two-Plane Grassmannians Mediterr. J. Math. (IF 1.1) Pub Date : 2024-03-14 Young Jin Suh
In this paper, we want to give a complete classification of Hopf real hypersurfaces in the complex two-plane Grassmannian \(G_2({{\mathbb {C}}}^{m+2})\) satisfying a pseudo-Ricci–Yamabe soliton if we use the notion of pseudo-anti commuting Ricci tensor. In addition to this one, we have proved that a real hypersurface with isometric Reeb flow in the complex two-plane Grassmannian \(G_2({{\mathbb {C}}}^{m+2})\)
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Maximal Ideals of Generalized Summing Linear Operators Mediterr. J. Math. (IF 1.1) Pub Date : 2024-03-13 Geraldo Botelho, Jamilson R. Campos, Lucas Nascimento
We prove when a Banach ideal of linear operators defined, or characterized, by the transformation of vector-valued sequences is maximal. Known results are recovered as particular cases and new information is obtained. To accomplish this task, we study a tensor quasi-norm determined by the underlying sequence classes. The duality theory for these tensor quasi-norms is also developed.
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On Global Solution for a Class of p(x)-Laplacian Equations with Logarithmic Nonlinearity Mediterr. J. Math. (IF 1.1) Pub Date : 2024-03-12 Quach Van Chuong, Le Cong Nhan, Le Xuan Truong
In this paper, we consider a class of p(x)-Laplacian equations with logarithmic source terms. Using the potential well method combined with the Nehari manifold, we prove some results on the global existence and blow-up of weak solutions in the subcritical case. Moreover, we also obtain decay estimates for the global weak solutions. Otherwise, we give an upper bound for the maximal existence time of
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Criteria of a Four-Weight Weak Type Inequality for One-Sided Maximal Operators in Orlicz Classes Mediterr. J. Math. (IF 1.1) Pub Date : 2024-03-12 Yanbo Ren, Jing Wang
In this paper, some necessary and sufficient conditions for a weighted weak type inequality of the form $$\begin{aligned}&\int _{\{ {{M_g^ + (f) > \lambda }\}}} {\varphi (\lambda {\omega _1}(x))} {\omega _2}(x)g(x)\mathrm{{d}}x \\&\quad \le {C_1}\int _{ - \infty }^{ + \infty } {\varphi ({C_1} |{f(x)}|{\omega _3}(x)){\omega _4}(x)g(x)\mathrm{{d}}x} \end{aligned}$$ to hold are obtained, which generalize
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A Positive Solution for a Weighted Anisotropic p-Laplace Equation Involving Vanishing Potential Mediterr. J. Math. (IF 1.1) Pub Date : 2024-03-09 A. Razani, Gustavo S. Costa, Giovany M. Figueiredo
Here, a weighted anisotropic p-Laplace equation $$\begin{aligned} -\Delta _{a\overrightarrow{p}}u+V(x)|x|^{-ap^*}|u|^{p^+-2}u=f(u), \end{aligned}$$ in \(\mathbb {R}^N\) is considered where \(\Delta _{a\overrightarrow{p}}u:=\sum _{i=1}^N\frac{\partial }{\partial x_i}\left( |x|^{-ap_i} \left| \frac{\partial u}{\partial x_i}\right| ^{p_i-2}\frac{\partial u}{\partial x_i}\right) \), the potential V can
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A Topological Theory for Unoriented SL(4) Foams Mediterr. J. Math. (IF 1.1) Pub Date : 2024-03-09 Mikhail Khovanov, Józef H. Przytycki, Louis-Hadrien Robert, Marithania Silvero
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On the Partial $$ \Pi $$ -Property of Some Subgroups of Prime Power Order of Finite Groups Mediterr. J. Math. (IF 1.1) Pub Date : 2024-03-09
Abstract Let H be a subgroup of a finite group G. We say that H satisfies the partial \( \Pi \) -property in G if there exists a chief series \( \varGamma _{G}: 1 =G_{0}< G_{1}< \cdots < G_{n}= G \) of G such that for every G-chief factor \( G_{i}/G_{i-1} (1\le i\le n) \) of \( \varGamma _{G} ,\) \( | G / G_{i-1}: N _{G/G_{i-1}} (HG_{i-1}/G_{i-1}\cap G_{i}/G_{i-1})| \) is a \( \pi (HG_{i-1}/G_{i-1}\cap
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Couplings of Operators with Two-Isometries in Three-Isometric Liftings Mediterr. J. Math. (IF 1.1) Pub Date : 2024-03-09
Abstract The operators T on a Hilbert space \({\mathcal {H}}\) which have 3-isometric liftings S on Hilbert spaces \({\mathcal {K}}\) containing \({\mathcal {H}}\) are investigated. Here, we deal with the liftings S which are 2-isometries on their invariant subspace \({\mathcal {K}}\ominus {\mathcal {H}}\) and also have this subspace invariant for \(S^*S\) . Several characterizations for such operators
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Abstract Differential Equations and $$L^{q,\alpha } $$ -Hölder Functions Mediterr. J. Math. (IF 1.1) Pub Date : 2024-03-07 Eduardo Hernandez, Lucas Lisboa, Denis Fernandes
We introduce the class of \(L^{q,\alpha }\)-Hölder functions and study the local and global existence and uniqueness of solution for abstract evolution differential equations assuming that the non-linear term is a \(L^{q,\alpha }\)-Hölder function. In the last section, some examples with applications to partial differential equations are presented.
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Expansivity and Contractivity of Toeplitz Operators on Newton Spaces Mediterr. J. Math. (IF 1.1) Pub Date : 2024-03-06 Eungil Ko, Ji Eun Lee, Jongrak Lee
The Newton space \(N^2({{\mathbb {H}}})\) has Newton polynomials as an orthonormal basis. In this paper, we study some properties of Newton polynomials. Using these results, we investigate properties of expansive and contractive Toeplitz operators with analytic and co-analytic symbols on a Newton space.
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Chasing Maximal Pro-p Galois Groups via 1-Cyclotomicity Mediterr. J. Math. (IF 1.1) Pub Date : 2024-03-04 Claudio Quadrelli
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Finite Groups with Permuteral Primary Subgroups Mediterr. J. Math. (IF 1.1) Pub Date : 2024-03-01 Victor Monakhov, Irina Sokhor
Let H be a subgroup of a group G. The permutizer \(P_G(H)\) is the subgroup generated by all cyclic subgroups of G which permute with H. A subgroup H of a group G is strongly permuteral in G if \(P_U(H)=U\) for every subgroup U of G, such that \(H\le U\le G\). We investigate groups with \(\mathbb {P}\)-subnormal or strongly permuteral Sylow subgroups. Moreover, we prove that groups with all strongly
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Complex Resonance Behaviors of Weak Nonlinear Duffing-van der Pol Systems Under Multi-frequency Excitation Mediterr. J. Math. (IF 1.1) Pub Date : 2024-02-26 Nannan Wang, Songlin Chen
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A Novel Fitted Three Term Method for the Numerical Treatment of Singularly Perturbed Differential–Difference Equations Mediterr. J. Math. (IF 1.1) Pub Date : 2024-02-26 Rakesh Ranjan, Hari Shankar Prasad, Gashu Gadisa Kiltu
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On the Boundedness of Sublinear Operators on Grand Herz–Hardy Spaces with Variable Exponent Mediterr. J. Math. (IF 1.1) Pub Date : 2024-02-26 Faiza Shabbir, Muhammad Asad Zaighum
In this paper, grand Herz–Hardy spaces with variable exponent is introduced. We prove the atomic decomposition of grand Herz–Hardy spaces with variable exponent. As an application we prove the boundedness of sublinear operators on grand Herz–Hardy spaces with variable exponent.
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Singular Type Trudinger–Moser Inequalities with Logarithmic Weights and the Existence of Extremals Mediterr. J. Math. (IF 1.1) Pub Date : 2024-02-21
Abstract In this paper, we study the existence of extremals for the following singular critical Trudinger–Moser inequality with logarithmic weights: $$\begin{aligned} \underset{u\in W_{0,r}^{{\small 1},n}(B,\omega _{\beta }),\left\| u\right\| _{\omega _{\beta }}\le 1}{\sup }\int _{B}\frac{\exp \big ( \alpha _{n,\beta ,\sigma }\left| u\right| ^{\frac{n}{\left( n-1\right) \left( 1-\beta \right) }}\big
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Generalized Fourier Multipliers via Mittag-Leffler Functions Mediterr. J. Math. (IF 1.1) Pub Date : 2024-02-20
Abstract A Fourier multiplier related to Mittag-Leffler function is introduced. We prove that our multiplier is radial on \({\mathbb {R}} ^{n}\) and generalizes the Bessel function. Furthermore, we study the \(L^{2}\) boundedness of the related Mittag-Leffler maximal function, the Littlewood–Paley g-function, and the discrete singular integral operator. We prove that the three operators are bounded
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Spectral Projection Methods for Derivative Dependent Hammerstein Equations with Green’s Kernels Mediterr. J. Math. (IF 1.1) Pub Date : 2024-02-19 Chafik Allouch, Kapil Kant, Ritu Nigam
This article proposes projection methods using polynomials for solving nonlinear Hammerstein equations with first derivative dependency and with a Green’s function type kernel. We analyze the convergence analysis of Galerkin and collocation methods with their iterated versions and show that the order of convergence in the iterated projection method improves over the projection method. Orthogonal projection
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A Necessary Condition on a Singular Kernel for the Continuity of an Integral Operator in Hölder Spaces Mediterr. J. Math. (IF 1.1) Pub Date : 2024-02-19
Abstract We prove that a condition of boundedness of the maximal function of a singular integral operator, that is known to be sufficient for the continuity of a corresponding integral operator in Hölder spaces, is actually also necessary in case the action of the integral operator does not decrease the regularity of a function. We do so in the frame of metric measured spaces with a measure satisfying
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Anisotropic (p, q)-Equations with Asymmetric Reaction Term Mediterr. J. Math. (IF 1.1) Pub Date : 2024-02-15 Zhenhai Liu, Nikolaos S. Papageorgiou
We consider a Dirichlet problem driven by the anisotropic (p, q)-Laplacian (double phase problem) and with a reaction term which exhibits asymmetric behavior as \(x\rightarrow \pm \infty \). Using variational tools, truncation, and comparison techniques and critical groups, we prove a multiplicity theorem producing four nontrivial solutions all with sign information and ordered.
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Entire Monogenic Functions of Given Proximate Order and Continuous Homomorphisms Mediterr. J. Math. (IF 1.1) Pub Date : 2024-02-15 Fabrizio Colombo, Rolf Soeren Krausshar, Stefano Pinton, Irene Sabadini
Infinite order differential operators appear in different fields of mathematics and physics. In the past decade they turned out to play a crucial role in the theory of superoscillations and provided new insight in the study of the evolution as initial data for the Schrödinger equation. Inspired by the infinite order differential operators arising in quantum mechanics, in this paper we investigate the
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Symmetric q-Dunkl-Coherent Pairs Mediterr. J. Math. (IF 1.1) Pub Date : 2024-02-15 Jihad Souissi, Mohamed Khalfallah
In this work, we introduce the notion of a q-Dunkl-coherent pair of linear functionals in the symmetric case. We prove that if (u, v) is a q-Dunkl-symmetrically coherent pair of form, then at least one of them must be a q-Dunkl-classical form. Examples related to the \(q^2\)-analog of generalized Hermite and the \(q^2\)-analog of generalized Gegenbauer forms are given.
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S-Prime Ideals, S-Noetherian Noncommutative Rings, and the S-Cohen’s Theorem Mediterr. J. Math. (IF 1.1) Pub Date : 2024-02-14 Alaa Abouhalaka
Let S be an m-system of a ring R. This paper presents the notion of a right S-prime ideal into noncommutative rings and provides some properties and equivalent definitions. We define a right S-idempotent ideal and an S-totally ordered set, and we show that every ideal of R is a right S-idempotent ideal, and the set of ideals in R is S-totally ordered if and only if every ideal in R is a right S-prime
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Cohomology and Deformations of Compatible Lie Triple Systems Mediterr. J. Math. (IF 1.1) Pub Date : 2024-02-12 Xinyue Wang, Yao Ma, Liangyun Chen
In this paper, we first introduce the notions of a compatible Lie triple system and its representation. We construct a bidifferential graded Lie algebra whose Maurer–Cartan elements are compatible Lie triple systems. We also obtain the bidifferential graded Lie algebra which controls deformations of a compatible Lie triple system. Then we investigate the cohomology theory of compatible Lie triple systems
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Generalized Stević–Sharma Type Operators on Spaces of Fractional Cauchy Transforms Mediterr. J. Math. (IF 1.1) Pub Date : 2024-02-05 Ebrahim Abbasi, Mostafa Hassanlou
Let \({\mathbb {D}}=\{z \in {\mathbb {C}}: |z| < 1 \}\) and \(\alpha >0\). Let \({\mathcal {F}}_{\alpha }\) be the collection of all holomorphic functions defined for \(z\in {\mathbb {D}}\) by integrating the kernel \((1-\overline{\zeta }z)^{-\alpha }\) against a complex valued measure on the \({\mathbb {T}} = \partial {\mathbb {D}}\). Considering the generalized Stevic–Sharma type operator on \({\mathcal
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Transference and Restriction of Bilinear Fourier Multipliers on Orlicz Spaces Mediterr. J. Math. (IF 1.1) Pub Date : 2024-02-05 Oscar Blasco, Rüya Üster
Let G be a locally compact abelian group with Haar measure \(m_G\) and let \(\Phi _i\), \(i=1,2,3\), be Young functions. A bounded measurable function m on \(G\times G\) is a \((\Phi _1,\Phi _2;\Phi _3)\)-bilinear multiplier if there exists \(C>0\) such that the bilinear map $$\begin{aligned} B_m (f,g)(\gamma )= \int _{G}\int _{G} m(x,y) {{\hat{f}}}(x) {{\hat{g}}}(y) \gamma (x+y) dm_G(x)dm_G(y), \end{aligned}$$
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Khinchin Families, Set Constructions, Partitions and Exponentials Mediterr. J. Math. (IF 1.1) Pub Date : 2024-02-01 Alicia Cantón, José L. Fernández, Pablo Fernández, Víctor J. Maciá
In this paper, we give a simple criterion to verify that functions of the form \(e^g\) are in the Hayman class when g is a power series with nonnegative coefficients. Thus, using the Hayman and Báez-Duarte formulas, we obtain asymptotics for the coefficients of generating functions that arise in many examples of set construction in analytic combinatorics. This new criterion greatly simplifies the one
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New Results for Fractional Hamiltonian Systems Mediterr. J. Math. (IF 1.1) Pub Date : 2024-02-01
Abstract In this paper, we study the multiplicity of weak nonzero solutions for the following fractional Hamiltonian systems: $$\begin{aligned} \left\{ \begin{array}{ll} { }_{t} D_{\infty }^{\alpha }\left( _{-\infty } D_{t}^{\alpha } u(t)\right) -L(t)u +\lambda u+ \nabla W(t,u) = 0, &{} \\ u\in H^{\alpha }({\mathbb {R}},{\mathbb {R}}^N),\;\;t\in {\mathbb {R}}, &{} \end{array} \right. \end{aligned}$$
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Orthogonal Polynomials on a Planar Quartic Curve Mediterr. J. Math. (IF 1.1) Pub Date : 2024-01-29 Phung Van Manh
The orthogonal structure in two variables on the quartic curve \(y^2=a x^4+bx^2+c\) is considered. For an even weight function on the curve, we show that orthogonal polynomials can be expressed in terms of two families of orthogonal polynomials in one variable. We establish relationships between the partial Fourier sum on the curve and partial Fourier sums in one variable. We also investigate the quadrature
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Distribution Generated by a Random Inhomogenous Fibonacci Sequence Mediterr. J. Math. (IF 1.1) Pub Date : 2024-01-24 Kálmán Liptai, László Szalay