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Bilinear multipliers on Orlicz spaces on locally compact groups

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Abstract

We generalize the theory of bilinear multipliers acting on Orlicz spaces from \(\mathbb {R}^n\) to locally compact abelian groups. We focus on describing these bilinear multipliers from the point of view of abstract harmonic analysis. We obtain separate necessary and sufficient conditions for the existence and boundedness of such bilinear multipliers.

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Acknowledgements

We are grateful to H. G. Feicthinger for a careful reading of the manuscript and for helpful comments.

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Authors and Affiliations

  1. Faculty of Arts and Sciences, Department of Mathematics, İstanbul Beykent University, 34500, Büyükçekmece, Istanbul, Turkey

    Alen Osançlıol

  2. Faculty of Science, Department of Mathematics, İstanbul University, Veznecİler, 34134, Istanbul, Turkey

    Serap Öztop

Authors
  1. Alen Osançlıol
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  2. Serap Öztop
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AO and SO wrote the main manuscript text.

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Correspondence to Serap Öztop.

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Osançlıol, A., Öztop, S. Bilinear multipliers on Orlicz spaces on locally compact groups. J. Pseudo-Differ. Oper. Appl. 14, 59 (2023). https://doi.org/10.1007/s11868-023-00551-5

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  • DOI: https://doi.org/10.1007/s11868-023-00551-5

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