Trudinger's inequality and continuity for Riesz potentials of functions in grand Musielak-Orlicz-Morrey spaces over nondoubling metric measure spaces

DOI10.1215/21562261-3600211zbMath1360.46032OpenAlexW2512913582MaRDI QIDQ318165

Takao Ohno, Tetsu Shimomura

Publication date: 4 October 2016

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.kjm/1471872285

zbMATH Keywords

continuitymetric measure spacevariable exponentgrand Musielak-Orlicz-Morrey spacesnondoubling measureTrudinger's inequality

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

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