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Mapping properties for operators on Herz-Morrey and Herz-Morrey-Hardy spaces

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Abstract

In this paper, we bulid the extrapolation theory for Herz-Morrey spaces, from which the mapping properties of the parametric Marcinkiewicz integrals, the geometric maximal operator, the minimal operator and the Rubio de Francia inequalities on Herz-Morrey spaces are deduced. By extending the extrapolation theory to Herz-Morrey-Hardy spaces, we also obtain the boundedness of the singular integral operators and the maximal Bochner-Riesz means on Herz-Morrey-Hardy spaces.

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Acknowledgements

The author would like to express his deep gratitude to the anonymous referees for their careful reading of the manuscript and their comments and suggestions. This work is supported by the Natural Science Foundation of Henan Province (No. 202300410338) and the Nanhu Scholar Program for Young Scholars of Xinyang Normal University.

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  1. School of Mathematics and Statistics, Xinyang Normal University, Xinyang, 464000, People’s Republic of China

    Mingquan Wei

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Wei, M. Mapping properties for operators on Herz-Morrey and Herz-Morrey-Hardy spaces. J. Pseudo-Differ. Oper. Appl. 14, 4 (2023). https://doi.org/10.1007/s11868-022-00501-7

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