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Vanishing exponential integrability for Riesz potentials of functions in Orlicz classes

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Publication:938795
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zbMath1152.31003MaRDI QIDQ938795

Tetsu Shimomura, Yoshihiro Mizuta

Publication date: 27 August 2008

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

Orlicz spacesexponential integrabilityRiesz potentials


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 (6)

Continuity properties of Riesz potentials of Orlicz functions ⋮ Orlicz-Sobolev capacity of balls ⋮ Vanishing exponential integrability for Riesz potentials in Morrey–Orlicz spaces ⋮ Sobolev's inequalities and vanishing integrability for Riesz potentials of functions in the generalized Lebesgue space \(L^{p(\cdot)}(\log L)^{q(\cdot)}\) ⋮ Sobolev's inequality for Riesz potentials of functions in Morrey spaces of integral form ⋮ Weighted Orlicz-Riesz capacity of balls




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