Characterizations for fractional Hardy inequality

DOI10.1515/acv-2013-0019zbMath1315.26021arXiv1308.1886OpenAlexW2963434627WikidataQ110020195 ScholiaQ110020195MaRDI QIDQ2018364

Bartłomiej Dyda, Antti V. Vähäkangas

Publication date: 14 April 2015

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.1886

zbMATH Keywords

fractional Hardy inequalitylocal Hardy-Littlewood maximal operatorWhitney cubesassociated fractional capacityMaz'ya-type characterizationquasiadditivityzero extension operator

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)

Related Items (11)

Fractional Orlicz-Sobolev embeddings ⋮ Fractional Poincaré and localized Hardy inequalities on metric spaces ⋮ On fractional Orlicz‑Sobolev spaces ⋮ On the Hardy–Sobolev Inequalities ⋮ Boundedness of functions in fractional Orlicz-Sobolev spaces ⋮ A new fractional order Poincare's inequality with weights ⋮ Beyond local maximal operators ⋮ On improved fractional Sobolev-Poincaré inequalities ⋮ On fractional Orlicz-Sobolev spaces ⋮ A note on homogeneous Sobolev spaces of fractional order ⋮ A non-local semilinear eigenvalue problem

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