Czechoslovak Mathematical Journal, Vol. 73, No. 1, pp. 263-276, 2023


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

Takao Ohno, Tetsu Shimomura

Received April 6, 2022.   Published online December 5, 2022.

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.
Keywords:  Riesz potential; Sobolev's inequality; Orlicz-Morrey space; metric measure space; non-doubling measure
Classification MSC:  46E35, 46E30


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Affiliations:   Takao Ohno (corresponding author), Faculty of Education, Oita University, Dannoharu Oita-city 870-1192, Japan, e-mail: t-ohno@oita-u.ac.jp; Tetsu Shimomura, Department of Mathematics, Graduate School of Humanities and Social Sciences, Hiroshima University, 1-1-1 Kagamiyama, Higashi-Hiroshima 739-8524, Japan, e-mail: tshimo@hiroshima-u.ac.jp


 
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