Sobolev's inequality for Musielak-Orlicz-Sobolev functions

DOI10.1007/s00025-023-01858-xOpenAlexW4323315076MaRDI QIDQ2693770

Tetsu Shimomura, Takao Ohno, Yoshihiro Mizuta

Publication date: 24 March 2023

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-023-01858-x

zbMATH Keywords

Sobolev's inequalityMusielak-Orlicz spacesRiesz potentialsfractional maximal functionsdouble phase functionals

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) Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

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