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“Schwarz 定理,以及通过长度和面积实现谐函数失真”Schwarz Lemma, and Distortion for Harmonic Functions Via Length and Are
日期:2020-02-06 作者/来源:

本文由科睿研究院Distinguished Fellow M. Mateljević于2020年2月6日发表于Potential Analysis


Abstract

We give sharp estimates for distortion of harmonic mappings u from the unit disc  into , at a prescribed point by means of diameter and area of the corresponding surface =(), and via the generalized length of the boundary of S.

Keywords: Harmonic and holomorphic functions · Hyperbolic distance · Schwarz lemma · Quasiconformal mappings · Diametar · Length · Area Mathematics Subject Classification (2010) Primary 30C80 · Secondary 30F45

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