Planar Poincaré domains: Geometry and Steiner symmetrization

DOI10.1007/BF02788821zbMath0843.30013MaRDI QIDQ1909254

Alexander Stanoyevitch, Wayne Smith, David A. Stegenga

Publication date: 24 March 1996

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

zbMATH Keywords

Poincaré inequalitySteiner symmetrization

Mathematics Subject Classification ID

Conformal mappings of special domains (30C20) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (1)

Quasihyperbolic growth conditions and compact embeddings of Sobolev spaces

Cites Work

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• Homeomorphisms of bounded length distortion
• Extension of quasisymmetric and Lipschitz embeddings of the real line into the plane
• Weakly Differentiable Functions
• Products of Poincare Domains
• The planar Schönflies theorem for Lipschitz maps
• Hardy spaces, $A_\infty$, and singular integrals on chord-arc domains
• The geometry of poincaré disks
• H = W
• Torsional rigidity, principal frequency, electrostatic capacity and symmetrization

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