Generalized Gagliardo-Nirenberg inequalities using Lorentz spaces, BMO, Hölder spaces and fractional Sobolev spaces

DOI10.1016/j.na.2018.04.001zbMath1398.46019OpenAlexW2799907502MaRDI QIDQ1750268

Xianqiang Yang

Publication date: 18 May 2018

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2018.04.001

zbMATH Keywords

Lipschitz spaceBMOLorentz spacesfractional Sobolev spaceGagliardo-Nirenberg's 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) Interpolation between normed linear spaces (46B70)

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Cites Work

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• Relative rearrangement. An estimation tool for boundary problems
• Linear diffusion with singular absorption potential and/or unbounded convective flow: the weighted space approach
• A note on \(BMO\) and its application
• On functions of bounded mean oscillation
• Classical Fourier Analysis
• Modern Fourier Analysis
• Limiting case of the Sobolev inequality in BMO, with application to the Euler equations

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