A weighted Poincaré inequality with a doubling weight

DOI10.1090/S0002-9939-98-04059-3zbMath0893.46022OpenAlexW1575701048MaRDI QIDQ4383027

Ritva Hurri-Syrjänen

Publication date: 24 March 1998

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-98-04059-3

zbMATH Keywords

Poincaré inequalityLipschitz functiondoubling weightunbounded John domains

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 ⋮ Advances in differential forms and the \(A\)-harmonic equation ⋮ A Sawyer-type sufficient condition for the weighted Poincaré inequality ⋮ Improved weighted Poincaré inequalities in John domains and application to the divergence equation ⋮ A Poincare's inequality with non-uniformly degenerating gradient ⋮ Improved Poincaré inequalities with weights ⋮ A Posteriori Error Estimates for the Stationary Navier--Stokes Equations with Dirac Measures ⋮ Error estimates for optimal control problems involving the Stokes system and Dirac measures ⋮ Advances in study of Poincaré inequalities and related operators ⋮ Mixed methods for degenerate elliptic problems and application to fractional Laplacian

Cites Work

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• Fractional Integrals on Weighted H p and L p Spaces
• Sobolev Embeddings for Generalized Ridged Domains
• Weighted Inequalities for Fractional Integrals on Euclidean and Homogeneous Spaces
• Unbounded Poincaré domains
• Weighted Sobolev Inequalities on Domains Satisfying the Chain Condition
• An Improved Poincare Inequality

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