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September 2016 Trudinger’s inequality and continuity for Riesz potentials of functions in grand Musielak–Orlicz–Morrey spaces over nondoubling metric measure spaces
Takao Ohno, Tetsu Shimomura
Kyoto J. Math. 56(3): 633-653 (September 2016). DOI: 10.1215/21562261-3600211

Abstract

In this article we are concerned with Trudinger’s inequality and continuity for Riesz potentials of functions in grand Musielak–Orlicz–Morrey spaces over nondoubling metric measure spaces.

Citation

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Takao Ohno. Tetsu Shimomura. "Trudinger’s inequality and continuity for Riesz potentials of functions in grand Musielak–Orlicz–Morrey spaces over nondoubling metric measure spaces." Kyoto J. Math. 56 (3) 633 - 653, September 2016. https://doi.org/10.1215/21562261-3600211

Information

Received: 2 March 2015; Revised: 10 June 2015; Accepted: 11 June 2015; Published: September 2016
First available in Project Euclid: 22 August 2016

zbMATH: 1360.46032
MathSciNet: MR3542779
Digital Object Identifier: 10.1215/21562261-3600211

Subjects:
Primary: 46E35
Secondary: 46E30

Keywords: continuity , grand Musielak–Orlicz–Morrey spaces , metric measure space , nondoubling measure , Trudinger’s inequality , ‎variable exponent

Rights: Copyright © 2016 Kyoto University

Vol.56 • No. 3 • September 2016
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