Exponential integrability for Riesz potentials of functions in Orlicz classes

zbMath0917.31004MaRDI QIDQ1268697

Tetsu Shimomura, Yoshihiro Mizuta

Publication date: 28 July 1999

Published in: Hiroshima Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Riesz potentialexponential integrabilitySobolev embeddingOrlicz condition

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

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Continuity properties of Riesz potentials of Orlicz functions, Exponential integrability of Riesz potentials of Orlicz functions, Trudinger's inequality and continuity of potentials on Musielak-Orlicz-Morrey spaces, Boundedness of integral operators of double phase, Vanishing exponential integrability for Riesz potentials in Morrey–Orlicz spaces, Trudinger's inequality for Riesz potentials of functions in Musielak-Orlicz spaces, Trudinger's inequality and continuity for Riesz potentials of functions in Musielak-Orlicz-Morrey spaces on metric measure spaces, Sobolev inequalities of exponential type, Sobolev's inequality for Riesz potentials of functions in Morrey spaces of integral form, Boundedness of fractional integral operators on Morrey spaces and Sobolev embeddings for generalized Riesz potentials, On Trudinger-type Inequalities in Orlicz-Morrey Spaces of an Integral Form