Sections of functions and Sobolev-type inequalities

DOI10.1134/S0081543814010131zbMath1318.46016arXiv1402.7192OpenAlexW2082106762MaRDI QIDQ483389

Viktor I. Kolyada

Publication date: 17 December 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.7192

zbMATH Keywords

Lorentz spaceLipschitz conditionSobolev-type inequalities

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)

Cites Work

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• Iterated rearrangements and Gagliardo-Sobolev type inequalities
• Proprietà di alcune classi di funzioni in più variabili
• Mixed norms and rearrangements: Sobolev's inequality and Littlewood's inequality
• On Fournier-Gagliardo mixed norm spaces
• NOTES ON INTERPOLATION OF MIXED NORM SPACES AND APPLICATIONS

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