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Riesz potentials and Sobolev-type inequalities in Orlicz-Morrey spaces of an integral form

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Abstract

Our aim is to give Sobolev-type inequalities for Riesz potentials of functions in Orlicz-Morrey spaces of an integral form over non-doubling metric measure spaces as an extension of T. Ohno, T. Shimomura (2022). Our results are new even for the doubling metric measure spaces.

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Acknowledgement

We would like to express our deep thanks to the referee for carefully reading the manuscript and giving kind comments and useful suggestions.

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Authors and Affiliations

  1. Faculty of Education, Oita University, Dannoharu Oita-city, 870-1192, Japan

    Takao Ohno

  2. Department of Mathematics, Graduate School of Humanities and Social Sciences, Hiroshima University, 1-1-1 Kagamiyama, Higashi-Hiroshima, 739-8524, Japan

    Tetsu Shimomura

Authors
  1. Takao Ohno
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  2. Tetsu Shimomura
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Correspondence to Takao Ohno.

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Ohno, T., Shimomura, T. Riesz potentials and Sobolev-type inequalities in Orlicz-Morrey spaces of an integral form. Czech Math J 73, 263–276 (2023). https://doi.org/10.21136/CMJ.2022.0149-22

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  • DOI: https://doi.org/10.21136/CMJ.2022.0149-22

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