Vanishing Morrey integrability for Riesz potentials in Morrey-Orlicz spaces

Authors

  • Yoshihiro Mizuta
  • Tetsu Shimomura

DOI:

https://doi.org/10.7146/math.scand.a-136539

Abstract

Our aim in this paper is to establish vanishing Morrey integrability for Riesz potentials of functions in Morrey-Orlicz spaces. We discuss the size of the exceptional sets by using a capacity and Hausdorff measure. We also give Trudinger-type exponential Morrey integrability for Riesz potentials of functions in Morrey-Orlicz spaces.

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Published

2023-06-05

How to Cite

Mizuta, Y., & Shimomura, T. (2023). Vanishing Morrey integrability for Riesz potentials in Morrey-Orlicz spaces. MATHEMATICA SCANDINAVICA, 129(2). https://doi.org/10.7146/math.scand.a-136539

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Articles