Equivalence of analytic and Sobolev Poincaré inequalities for planar domains

DOI10.2140/pjm.1997.178.363zbMath0885.30017OpenAlexW1992064032MaRDI QIDQ1365147

Alexander Stanoyevitch, David A. Stegenga

Publication date: 3 May 1998

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1997.178.363

zbMATH Keywords

Sobolev-Poincaré inequality

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities involving derivatives and differential and integral operators (26D10)

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