Quasiconformal distortion of Riesz capacities and Hausdorff measures in the plane

2010/02/04 by Kari Astala, Astala, K., Albert Clop +7
Computer Science · Mathematics · #30C62 #35J15 #35J70 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1002.1038

openalex publication_date 2010/02/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we prove the sharp distortion estimates for the quasiconformal mappings in the plane, both in terms of the Riesz capacities from non linear potential theory and in terms of the Hausdorff measures.

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