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Hardy's inequality in Orlicz-Sobolev spaces of variable exponent

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Publication:555322
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DOI10.14492/HOKMJ/1310042827zbMath1227.46023OpenAlexW2070595039MaRDI QIDQ555322

Yoshihiro Mizuta, Tetsu Shimomura, Takao Ohno, Eiichi Nakai

Publication date: 22 July 2011

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

Full work available at URL: https://projecteuclid.org/euclid.hokmj/1310042827


zbMATH Keywords

Sobolev embeddingsLebesgue spaceHardy's inequalityvariable exponent


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) Inequalities involving derivatives and differential and integral operators (26D10)


Related Items (5)

Compact embeddings for Sobolev spaces of two variable exponents ⋮ A trace inequality of Riesz potentials in variable exponent Orlicz spaces ⋮ Biographical Sketch of Professor Eiichi Nakai ⋮ Weighted Sobolev inequality in Musielak-Orlicz space ⋮ Hardy and Poincaré inequalities in fractional Orlicz-Sobolev spaces







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