Sobolev's inequality in central Herz-Morrey-Musielak-Orlicz spaces over metric measure spaces

DOI10.1080/17476933.2020.1863382zbMath1496.46035OpenAlexW3119635978MaRDI QIDQ5071712

Tetsu Shimomura, Takao Ohno

Publication date: 22 April 2022

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2020.1863382

zbMATH Keywords

maximal functionsmetric measure spaceRiesz potentialsnon-doubling measuredouble phase functionalscentral Herz-Morrey-Musielak-Orlicz spaces

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 (and similar kinds of) spaces of functions on metric spaces; analysis on metric spaces (46E36)

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