QUASICONFORMAL MAPS WITH THIN DILATATIONS

被引：0

作者：

Bishop, Christopher J. ^{[1
]}

机构：

[1] SUNY Stony Brook, Dept Math, Stony Brook, NY 11794 USA

来源：

PUBLICACIONS MATEMATIQUES | 2022年 / 66卷 / 02期

关键词：

quasiconformal maps; conformal modulus; quasiconformal folding; Pomp eiu?s formula; holomorphic dynamics; SET;

D O I：

10.5565/PUBLMAT6622207

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give an estimate that quantifies the fact that a normalized quasicon-formal map whose dilatation is non-zero only on a set of small area approximates the identity uniformly on the whole plane. The precise statement is motivated by applica-tions of the author's quasiconformal folding method for constructing entire functions; in particular an application to constructing transcendental wandering domains given by Fagella, Godillon, and Jarque [7].

引用

页码：715 / 727

页数：13

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