Quasiconformal maps, analytic capacity, and non linear potentials

DOI10.1215/00127094-2208869zbMath1295.30052arXiv0907.4188OpenAlexW2034565035MaRDI QIDQ351221

Ignacio Uriarte-Tuero, Xavier Tolsa

Publication date: 11 July 2013

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.4188

zbMATH Keywords

quasiconformal mapsHausdorff measuresanalytic capacityRiesz capacities

Mathematics Subject Classification ID

Quasiconformal mappings in the complex plane (30C62) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)

Related Items (1)

Quasiconformal maps, analytic capacity, and non linear potentials

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Quasiconformal maps, analytic capacity, and non linear potentials
• Astala's conjecture on distortion of Hausdorff measures under quasiconformal maps in the plane
• Unrectifiable 1-sets have vanishing analytic capacity
• Area distortion of quasiconformal mappings
• Composites and quasiconformal mappings: new optimal bounds in two dimensions
• Functions of bounded mean oscillation and quasiconformal mappings
• Beltrami operators in the plane
• Painlevé's problem and the semiadditivity of analytic capacity.
• On the analytic capacity and curvature of some Cantor sets with non-\(\sigma\)-finite length
• Distortion of Hausdorff measures and improved Painlevé removability for quasiregular mappings
• Bilipschitz maps, analytic capacity, and the Cauchy integral
• Analytic capacity and quasiconformal mappings with \(W^{1,2}\) Beltrami coefficient
• Vector-valued Riesz potentials: Cartan-type estimates and related capacities
• Sharp Examples for Planar Quasiconformal Distortion of Hausdorff Measures and Removability
• The Capacity Associated to Signed Riesz Kernels, and Wolff Potentials
• The planar Cantor sets of zero analytic capacity and the local 𝑇(𝑏)-Theorem
• Analytic capacity: discrete approach and curvature of measure
• Quasiconformal distortion of Riesz capacities and Hausdorff measures in the plane

This page was built for publication: Quasiconformal maps, analytic capacity, and non linear potentials