Non-stretch mappings for a sharp estimate of the Beurling-Ahlfors operator
type: Item
instance of: scholarly article
title: Non-stretch mappings for a sharp estimate of the Beurling-Ahlfors operator
zbMATH Open document ID: 1319.42010
author: Xingdi Chen
author: Tao Qian
published in: Journal of Mathematical Analysis and Applications
publication date: 2015-03-27T00:00:00Z
Mathematics Subject Classification ID: 42B20
Mathematics Subject Classification ID: 42B99
Mathematics Subject Classification ID: 42B37
Mathematics Subject Classification ID: 31A05
zbMATH DE Number: 6420122
zbMATH Keywords: Beurling-Ahlfors operator
zbMATH Keywords: Cauchy operator
zbMATH Keywords: harmonic mapping
zbMATH Keywords: Beltrami equation
zbMATH Keywords: principal solution
MaRDI profile type: Publication
full work available at URL: j.jmaa.2013.11.010
OpenAlex ID: W2066756200
cites work: Integral means and arclength inequalities for typically real logharmonic mappings
cites work: Univalent Functions in H ⋅ _ H &nbsp; (D)
cites work: Q5512337
cites work: Area distortion of quasiconformal mappings
cites work: Q5503905
cites work: Burkholder integrals, Morrey's problem and quasiconformal mappings
cites work: Q4496183
cites work: The foundational inequalities of D. L. Burkholder and some of their ramifications
cites work: $L^p$--bounds for the Beurling--Ahlfors transform
cites work: Sharp inequalities for the Beurling-Ahlfors transform on radial functions
cites work: Sharp inequalities for martingales with applications to the Beurling-Ahlfors and Riesz transforms
cites work: Subordination by conformal martingales in \(L^{p}\) and zeros of Laguerre polynomials
cites work: Boundary value problems and sharp inequalities for martingale transforms
cites work: Q3973695
cites work: Hyperbolically bi-Lipschitz continuity for \(1/|w|^2\)-harmonic quasiconformal mappings
cites work: Harmonicity of the inverse of a harmonic diffeomorphism
cites work: Harmonic univalent functions
cites work: Quasiconformal 4-manifolds
cites work: Some remarks on the \(L^p\) estimates for powers of the Ahlfors-Beurling operator
cites work: A rotation method which gives linear \(L^{p}\) estimates for powers of the Ahlfors--Beurling operator
cites work: Bellman function, Littlewood-Paley estimates and asymptotics for the Ahlfors-Beurling operator in L^p(C)
cites work: Q4828548
cites work: A Report on Harmonic Maps
cites work: Extremal inequalities in Sobolev spaces and quasiconformal mappings
cites work: Nonlinear Cauchy-Riemann operators in \(\mathbb{R}^{n}\)
cites work: Q5509800
cites work: Quasi-convexity and the lower semicontinuity of multiple integrals
cites work: Heating of the Ahlfors–Beurling operator, and estimates of its norm
cites work: Heating of the Ahlfors-Beurling operator: weakly quasiregular maps on the plane are quasiregular
cites work: Rank-one convexity does not imply quasiconvexity
DOI: 10.1016/J.JMAA.2013.11.010
description: scientific article; zbMATH DE number 6420122