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Fredholmness of pseudo-differential operators with nonregular symbols

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Abstract

We establish the Fredholmness of a pseudo-differential operator whose symbol is of class C0,σ, 0 < σ < 1, in the spatial variable. Our work here refines the work of H. Abels, C. Pfeuffer (2020).

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References

  1. H. Abels: Pseudodifferential and Singular Integral Operators: An Introduction With Applications. de Gruyter Graduate Lectures. Walter de Gruyter, Berlin, 2012.

    MATH  Google Scholar 

  2. H. Abels, C. Pfeuffer: Fredholm property of non-smooth pseudodifferential operators. Math. Nachr. 293 (2020), 822–846.

    Article  MathSciNet  MATH  Google Scholar 

  3. L. Hörmander: The Analysis of Linear Partial Differential Operators. III. Pseudo-Differential Operators. Grundlehren der Mathematischen Wissenschaften 274. Springer, Berlin, 1994.

    MATH  Google Scholar 

  4. J. J. Kohn, L. Nirenberg: An algebra of pseudo-differential operators. Commun. Pure Appl. Math. 18 (1965), 269–305.

    Article  MathSciNet  MATH  Google Scholar 

  5. H. Kumano-go: Pseudo-Differential Operators. MIT Press, Cambridge, 1982.

    MATH  Google Scholar 

  6. M. Nagase: The Lp-boundedness of pseudo-differential operators with non-regular symbols. Commun. Partial Differ. Equations 2 (1977), 1045–1061.

    Article  MATH  Google Scholar 

  7. M. E. Taylor: Pseudodifferential Operators and Nonlinear PDE. Progress in Mathematics 100. Brikhäuser, Boston, 1991.

    Book  MATH  Google Scholar 

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Correspondence to Kazushi Yoshitomi.

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Yoshitomi, K. Fredholmness of pseudo-differential operators with nonregular symbols. Czech Math J 73, 941–954 (2023). https://doi.org/10.21136/CMJ.2023.0387-22

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  • DOI: https://doi.org/10.21136/CMJ.2023.0387-22

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MSC 2020

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