The equivalence between pointwise Hardy inequalities and uniform fatness

DOI10.1007/s00208-010-0617-0zbMath1239.26018arXiv0906.2086OpenAlexW1964015765WikidataQ109992668 ScholiaQ109992668MaRDI QIDQ652237

Heli Tuominen, Riikka Korte, Juha Lehrbäck

Publication date: 14 December 2011

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.2086

zbMATH Keywords

Hardy-Littlewood inequalityuniform fatness

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities for sums, series and integrals (26D15) Other generalizations (nonlinear potential theory, etc.) (31C45)

Related Items (20)

Hardy inequalities and Assouad dimensions ⋮ In between the inequalities of Sobolev and Hardy ⋮ A note on the dimensions of Assouad and Aikawa ⋮ Fractional Hardy inequalities and visibility of the boundary ⋮ Self-improvement of uniform fatness revisited ⋮ The Hajłasz capacity density condition is self-improving ⋮ Global Lorentz and Lorentz-Morrey estimates below the natural exponent for quasilinear equations ⋮ Characterization of fractional Sobolev-Poincaré and (localized) Hardy inequalities ⋮ Fractional Poincaré and localized Hardy inequalities on metric spaces ⋮ The variational capacity with respect to nonopen sets in metric spaces ⋮ Weighted Hardy inequalities beyond Lipschitz domains ⋮ Quasiadditivity of variational capacity ⋮ Characterizations for the Hardy Inequality ⋮ Sharp Hardy inequalities on the solid torus ⋮ Self-improvement of pointwise Hardy inequality ⋮ Self-improvement of weighted pointwise inequalities on open sets ⋮ The square root problem for second-order, divergence form operators with mixed boundary conditions on \(L^p\) ⋮ Resistance conditions, Poincaré inequalities, the Lip-lip condition and Hardy's inequalities ⋮ ON THE VARIATIONAL CONSTANT ASSOCIATED TO THE -HARDY INEQUALITY ⋮ Hardy's inequality for functions vanishing on a part of the boundary

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