THE DIAMETER CONJECTURE FOR QUASI-CONFORMAL MAPS IS TRUE IN-SPACE

被引：2

作者：

HEINONEN, J

机构：

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1995年 / 123卷 / 06期

关键词：

D O I：

10.2307/2160981

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The diameter conjecture for quasiconformal maps is a natural generalization of the Hayman-Wu theorem on level sets of a univalent function. Astala, Fernandez, and Rohde recently disproved this conjecture in the plane. Here we show it is true in space.

引用

页码：1709 / 1718

页数：10

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