Self-improving properties of inequalities of Poincaré type on measure spaces and applications

DOI10.1016/j.jfa.2008.05.012zbMath1172.46020OpenAlexW1975750797MaRDI QIDQ960537

Seng-Kee Chua, Richard L. Wheeden

Publication date: 22 December 2008

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2008.05.012

zbMATH Keywords

quasimetric spaces\(s\)-John domainsglobal Poincaré estimatespower type weights

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 (10)

Improved Poincar\'e inequalities in fractional Sobolev spaces ⋮ Global subrepresentation formulas in chain domains with irregular boundaries ⋮ Variations on the Boman covering lemma ⋮ Criteria for optimal global integrability of Hajłasz-Sobolev functions ⋮ Harnack's inequality and applications of quasilinear degenerate elliptic equations with rough and singular coefficients ⋮ Weighted Inequalities of Poincaré Type on Chain Domains ⋮ Improved Poincaré inequalities with weights ⋮ Harnack's inequality and Hölder continuity for weak solutions of degenerate quasilinear equations with rough coefficients ⋮ An embedding into an Orlicz space for irregular John domains ⋮ Embedding and compact embedding for weighted and abstract Sobolev spaces

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