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Norm Inequalities in Generalized Morrey Spaces

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Abstract

We prove that Calderón-Zygmund operators, Marcinkiewicz operators, maximal operators associated to Bochner-Riesz operators, operators with rough kernel as well as commutators associated to these operators which are known to be bounded on weighted Morrey spaces under appropriate conditions, are bounded on a wide family of function spaces.

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Acknowledgments

The author is very grateful to Aline Bonami and the referee, for their useful comments and remarks.

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Authors and Affiliations

  1. Laboratoire de Mathématiques Fondamentales, UFR Mathématiques et Informatique, Université Félix Houphouet-Boigny (Cocody), 22 B.P 1194, Abidjan 22, Ivory Coast

    Justin Feuto

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  1. Justin Feuto
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Correspondence to Justin Feuto.

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Communicated by Hans G. Feichtinger.

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Feuto, J. Norm Inequalities in Generalized Morrey Spaces. J Fourier Anal Appl 20, 896–909 (2014). https://doi.org/10.1007/s00041-014-9337-2

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  • DOI: https://doi.org/10.1007/s00041-014-9337-2

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