Removability theorems for Sobolev functions and quasiconformal maps
type: Item
instance of: scholarly article
title: Removability theorems for Sobolev functions and quasiconformal maps
zbMATH Open document ID: 1034.30014
DOI: 10.1007/BF02384320
author: Peter Jones
author: Stanislav Smirnov
published in: Arkiv för Matematik
publication date: 2004-03-15T00:00:00Z
review text: Several sufficient conditions for a set to be (quasi)conformally removable and Sobolev removable are established. The (quasi)conformally removable and the Sobolev removable play very important roles in the holomorphic dynamics. Therefore the authors have given the applications of these two ideas in the holomorphic dynamics. We notice that the authors are mostly interested in the planar case, where all their theorems are considered.
Mathematics Subject Classification ID: 30C62
Mathematics Subject Classification ID: 30C35
Mathematics Subject Classification ID: 30C65
Mathematics Subject Classification ID: 37F15
Mathematics Subject Classification ID: 46E35
zbMATH DE Number: 2057377
zbMATH Keywords: quasiconformal map
zbMATH Keywords: Sobolev space
zbMATH Keywords: removable set
reviewed by: Metin Bolcal
MaRDI profile type: Publication
cites work: Confromal invariants and function-theoretic null-sets
cites work: Q4314432
cites work: On nullsets for continuous analytic functions
cites work: Q3262941
cites work: Collet, Eckmann and Hölder
cites work: The Poincaré inequality for vector fields satisfying Hörmander's condition
cites work: Density properties of harmonic measure
cites work: Fourier-Stieltjes coefficients and continuation of functions
cites work: On removable sets for quasiconformal mappings
cites work: Q4379879
cites work: Rigidity of holomorphic Collet-Eckmann repellers
cites work: Removable sets of analytic functions satisfying a Lipschitz condition
cites work: Lectures on \(n\)-dimensional quasiconformal mappings
full work available at URL: https://doi.org/10.1007/bf02384320
OpenAlex ID: W2013105826
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description: scientific article; zbMATH DE number 2057377