Weighted Hardy inequalities beyond Lipschitz domains

DOI10.1090/S0002-9939-2014-11904-6zbMath1285.26040arXiv1209.0588WikidataQ109745469 ScholiaQ109745469MaRDI QIDQ5401513

Juha Lehrbäck

Publication date: 13 March 2014

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.0588

zbMATH Keywords

metric spacesHausdorff dimensionchain conditionBorel functionLipschitz functionHardy inequalitiesPoincare inequalityHausdorff contentsBorel regular outer measure

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities for sums, series and integrals (26D15)

Related Items (15)

Hardy inequalities and Assouad dimensions ⋮ In between the inequalities of Sobolev and Hardy ⋮ Accessible parts of boundary for simply connected domains ⋮ Accessible parts of the boundary for domains in metric measure spaces ⋮ Fractional Hardy inequalities and visibility of the boundary ⋮ Convergence rates for linear elasticity systems on perforated domains ⋮ Characterization of fractional Sobolev-Poincaré and (localized) Hardy inequalities ⋮ Fractional Poincaré and localized Hardy inequalities on metric spaces ⋮ Construction of a right inverse for the divergence in non-cylindrical time dependent domains ⋮ Uniqueness of diffusion on domains with rough boundaries ⋮ Embedding theorems for a weighted Sobolev class in the space \(L_{q,v}\) with weights having a singularity at a point: case \(v\not\in L_{q}^{1}\) ⋮ Assouad type dimensions in geometric analysis ⋮ Accessible parts of the boundary for domains with lower content regular complements ⋮ Hardy’s inequality in a limiting case on general bounded domains ⋮ Embedding theorem for weighted Sobolev classes with weights that are functions of the distance to some \(h\)-set

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