Gagliardo–Nirenberg inequalities in weighted Orlicz spaces

DOI10.4064/sm173-1-4zbMath1093.26011OpenAlexW1982327358WikidataQ115181025 ScholiaQ115181025MaRDI QIDQ5469328

Katarzyna Pietruska-Pałuba, Agnieszka Kałamajska

Publication date: 17 May 2006

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/sm173-1-4

zbMATH Keywords

Orlicz spacesmaximal functionsGagliardo-Nirenberg 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) Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities involving derivatives and differential and integral operators (26D10)

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Regularizing effect of the lower-order terms in elliptic problems with Orlicz growth ⋮ Brezis-van Schaftingen-Yung formulae in ball Banach function spaces with applications to fractional Sobolev and Gagliardo-Nirenberg inequalities ⋮ Weighted Orlicz regularity estimates for fully nonlinear elliptic equations with asymptotic convexity ⋮ Weighted estimates for nondivergence parabolic equations in Orlicz spaces ⋮ Well posedness and regularity for heat equation with the initial condition in weighted Orlicz-Slobodetskii space subordinated to Orlicz space like \(\lambda (\log\lambda )^\alpha\) and the logarithmic weight ⋮ Hardy inequalities resulted from nonlinear problems dealing with \(A\)-Laplacian ⋮ Traces of Orlicz‐Sobolev functions under general growth restrictions ⋮ Gagliardo-Nirenberg inequality for rearrangement-invariant Banach function spaces ⋮ Gagliardo-Nirenberg inequalities in regular Orlicz spaces involving nonlinear expressions ⋮ A Gagliardo-Nirenberg-type inequality and its applications to decay estimates for solutions of a degenerate parabolic equation ⋮ A Gagliardo-Nirenberg type inequality for rapidly decaying functions

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