Poincare and Sobolev Inequalities in Product Spaces

DOI10.2307/2160066zbMath0779.42011OpenAlexW4237539645MaRDI QIDQ3134683

Alberto Torchinsky, Xian Liang Shi

Publication date: 13 September 1993

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2160066

zbMATH Keywords

Poincaré inequalitySobolev inequalityproduct spaces

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Partial differential inequalities and systems of partial differential inequalities (35R45) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (4)

Boundedness for solutions of weighted forward-backward parabolic equations without assuming higher regularity ⋮ Some non-standard biparametric Poincaré type inequalities through harmonic analysis ⋮ Self-improving Poincaré-Sobolev type functionals in product spaces ⋮ A characterization of the two-weight inequality for Riesz potentials on cones of radially decreasing functions

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