BILIPSCHITZ AND QUASICONFORMAL ROTATION, STRETCHING AND MULTIFRACTAL SPECTRA

被引：14
|
作者：
Astala, Kari [1 ]
Iwaniec, Tadeusz [1 ,2 ]
Prause, Istvan [1 ]
Saksman, Eero [1 ]
机构：
[1] Univ Helsinki, Dept Math & Stat, POB 68, FIN-00014 Helsinki, Finland
[2] Syracuse Univ, Dept Math, Syracuse, NY 13244 USA
来源：
PUBLICATIONS MATHEMATIQUES DE L IHES | 2015年 / 121期
基金：
芬兰科学院;
关键词：
BURKHOLDER; DISTORTION; MAPPINGS; MAPS;
D O I：
10.1007/s10240-014-0065-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We establish sharp bounds for simultaneous local rotation and Holder-distortion of planar quasiconformal maps. In addition, we give sharp estimates for the corresponding joint quasiconformal multifractal spectrum, based on new estimates for Burkholder functionals with complex parameters. As a consequence, we obtain optimal rotation estimates also for bi-Lipschitz maps.
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页码：113 / 154
页数：42
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