Trudinger's inequality and continuity of potentials on Musielak-Orlicz-Morrey spaces

DOI10.1007/s11118-012-9284-yzbMath1268.46024OpenAlexW2069042120MaRDI QIDQ1935443

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

Publication date: 15 February 2013

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11118-012-9284-y

zbMATH Keywords

Trudinger inequalityvariable exponentMusielak-Orlicz-Morrey space

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)

Related Items (9)

Trudinger's inequality and continuity for Riesz potentials of functions in grand Musielak-Orlicz-Morrey spaces over nondoubling metric measure spaces ⋮ Sobolev and Trudinger type inequalities on grand Musielak-Orlicz-Morrey spaces ⋮ Trudinger's inequality on Musielak-Orlicz-Morrey spaces over non-doubling metric measure spaces ⋮ Vanishing exponential integrability for Riesz potentials in Morrey–Orlicz spaces ⋮ On the Riesz potential and its commutators on generalized Orlicz-Morrey spaces ⋮ Trudinger's inequality and continuity for Riesz potentials of functions in Musielak-Orlicz-Morrey spaces on metric measure spaces ⋮ Approximation by trigonometric polynomials in variable exponent Morrey spaces ⋮ A remark on two generalized Orlicz-Morrey spaces ⋮ Trudinger's inequality for double phase functionals with variable exponents

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