The Gehring lemma: dimension free estimates

DOI10.1016/j.na.2018.06.017zbMath1410.46019OpenAlexW2883515979WikidataQ114146056 ScholiaQ114146056MaRDI QIDQ1627433

Bianca Stroffolini, Jan Kristensen

Publication date: 22 November 2018

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

Full work available at URL: https://ora.ox.ac.uk/objects/uuid:86ae8f64-93ed-4179-9db1-dde258bdd139

zbMATH Keywords

Gehring's lemmahigher integrabilityweak reverse Hölder 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) Inequalities for sums, series and integrals (26D15)

Related Items (1)

Lipschitz bounds and nonautonomous integrals

Cites Work

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• A SHARP $L^{\lowercase{p}}$ INEQUALITY FOR DYADIC $A_{1}$ WEIGHTS IN $\mathbb{R}^{\lowercase{n}}$
• Weighted norm inequalities for maximal functions and singular integrals
• Gradient regularity for minimizers under general growth conditions
• The Muckenhoupt class A₁(R)
• Global integrability of the gradients of solutions to partial differential equations
• The sharp constant in the reverse Hölder inequality for Muckenhoupt weights
• The Structure of the Reverse Holder Classes
• Weighted Norm Inequalities for the Hardy Maximal Function
• Sobolev Spaces
• Gehring's lemma for nondoubling measures

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