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

Takao Ohno; Tetsu Shimomura

Czechoslovak Mathematical Journal (2023)

  • Volume: 73, Issue: 1, page 263-276
  • ISSN: 0011-4642

Abstract

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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.

How to cite

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Ohno, Takao, and Shimomura, Tetsu. "Riesz potentials and Sobolev-type inequalities in Orlicz-Morrey spaces of an integral form." Czechoslovak Mathematical Journal 73.1 (2023): 263-276. <http://eudml.org/doc/299497>.

@article{Ohno2023,
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.},
author = {Ohno, Takao, Shimomura, Tetsu},
journal = {Czechoslovak Mathematical Journal},
keywords = {Riesz potential; Sobolev's inequality; Orlicz-Morrey space; metric measure space; non-doubling measure},
language = {eng},
number = {1},
pages = {263-276},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Riesz potentials and Sobolev-type inequalities in Orlicz-Morrey spaces of an integral form},
url = {http://eudml.org/doc/299497},
volume = {73},
year = {2023},
}

TY - JOUR
AU - Ohno, Takao
AU - Shimomura, Tetsu
TI - Riesz potentials and Sobolev-type inequalities in Orlicz-Morrey spaces of an integral form
JO - Czechoslovak Mathematical Journal
PY - 2023
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 73
IS - 1
SP - 263
EP - 276
AB - 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.
LA - eng
KW - Riesz potential; Sobolev's inequality; Orlicz-Morrey space; metric measure space; non-doubling measure
UR - http://eudml.org/doc/299497
ER -

References

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