FRACTIONAL SOBOLEV–POINCARÉ AND FRACTIONAL HARDY INEQUALITIES IN UNBOUNDED JOHN DOMAINS

DOI10.1112/S0025579314000230zbMath1321.26041arXiv1311.2863OpenAlexW2963237258WikidataQ110020196 ScholiaQ110020196MaRDI QIDQ5255885

Antti V. Vähäkangas, Ritva Hurri-Syrjänen

Publication date: 22 June 2015

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.2863

zbMATH Keywords

John domainsHardy-type inequalitiesfractional inequalitiesSobolev-Poincaré-type inequalities

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (13)

On fractional capacities relative to bounded open Lipschitz sets ⋮ Fractional Hardy–Sobolev type inequalities for half spaces and John domains ⋮ Dual characterization of fractional capacity via solution of fractional p‐Laplace equation ⋮ Fractional Poincaré and localized Hardy inequalities on metric spaces ⋮ Muckenhoupt \(A_p\)-properties of distance functions and applications to Hardy-Sobolev-type inequalities ⋮ A new fractional order Poincare's inequality with weights ⋮ Beyond local maximal operators ⋮ On improved fractional Sobolev-Poincaré inequalities ⋮ Some integrability estimates for solutions of the fractional p-Laplace equation ⋮ Characterizations to the fractional Sobolev inequality ⋮ Study of fractional Poincaré inequalities on unbounded domains ⋮ On the weighted fractional Poincar\'e-type inequalities ⋮ Hardy and Poincaré inequalities in fractional Orlicz-Sobolev spaces

Cites Work

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• On fractional Poincaré inequalities
• Self-improving properties of John-Nirenberg and Poincaré inequalities on spaces of homogeneous type
• Aspects of local-to-global results
• Unbounded Poincaré domains
• Sobolev-type spaces from generalized Poincaré inequalities
• Fractional Hardy-type inequalities in domains with uniformly fat complement
• A framework for fractional Hardy inequalities

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