Sobolev and Trudinger type inequalities on grand Musielak-Orlicz-Morrey spaces

DOI10.5186/aasfm.2015.4027zbMath1327.31017OpenAlexW2320681077MaRDI QIDQ3194654

Takao Ohno, Tetsu Shimomura, Fumi-Yuki Maeda, Yoshihiro Mizuta

Publication date: 20 October 2015

Published in: Annales Academiae Scientiarum Fennicae Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5186/aasfm.2015.4027

zbMATH Keywords

maximal functionsSobolev's inequalityRiesz potentialsgrand Musielak-Orlicz-Morrey spacesTrudinger's inequality

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (8)

Weighted fully measurable grand Lebesgue spaces and the maximal theorem ⋮ Trudinger's inequality and continuity for Riesz potentials of functions in grand Musielak-Orlicz-Morrey spaces over nondoubling metric measure spaces ⋮ Fully measurable small Lebesgue spaces ⋮ On grand and small Lebesgue and Sobolev spaces and some applications to PDE's ⋮ Calderón-Zygmund estimates in generalized Orlicz spaces ⋮ Sobolev embeddings in grand Morrey spaces ⋮ The Riesz potential in generalized Orlicz spaces ⋮ Hölder regularity of quasiminimizers under generalized growth conditions

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