Bi-Lipschitz extensions in the plane

DOI10.1007/BF02788819zbMath0907.54028MaRDI QIDQ1909252

Paul MacManus

Publication date: 24 February 1999

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

zbMATH Keywords

extensionbi-Lipschitz mapplanar Schoenflies theorem

Mathematics Subject Classification ID

Special maps on metric spaces (54E40) Extension of maps (54C20)

Related Items (8)

Sharp distortion growth for bilipschitz extension of planar maps ⋮ Quasiconformal mappings and periodic spectral problems in dimension two ⋮ Hard Sard: quantitative implicit function and extension theorems for Lipschitz maps ⋮ Equilateral triangulations and the postcritical dynamics of meromorphic functions ⋮ An estimate for the Morse index of a Stokes wave ⋮ Symmetrization and extension of planar bi-Lipschitz maps ⋮ Bi-Lipschitz parts of quasisymmetric mappings ⋮ Optimal extension of Lipschitz embeddings in the plane

Cites Work

• Opérateurs d'intégrale singulière sur les surfaces régulières
• The planar Schönflies theorem for Lipschitz maps
• Hardy spaces, $A_\infty$, and singular integrals on chord-arc domains
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