Gagliardo-Nirenberg inequality for rearrangement-invariant Banach function spaces

DOI10.4171/RLM/872zbMath1442.46025arXiv1812.04295OpenAlexW2983292456MaRDI QIDQ2281287

Alberto Fiorenza, Maria Rosaria Formica, Filip Soudský, Tomáš G. Roskovec

Publication date: 19 December 2019

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.04295

zbMATH Keywords

Orlicz spacesLorentz spacesBanach function spacesGagliardo-Nirenberg inequality

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) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities involving derivatives and differential and integral operators (26D10) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (6)

Optimal Gagliardo-Nirenberg interpolation inequality for rearrangement invariant spaces ⋮ Regularity of the inverse mapping in Banach function spaces ⋮ Gagliardo-Nirenberg inequalities in Lorentz type spaces ⋮ On grand Sobolev spaces and pointwise description of Banach function spaces ⋮ Interactions of semilinear progressing waves in two or more space dimensions ⋮ On the regularity of solutions to a class of degenerate PDE's with lower order terms

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