A Sharp Inequality for Harmonic Diffeomorphisms of the Unit Disk

被引：0
|
作者：
David Kalaj
机构：
[1] University of Montenegro,Faculty of Natural Sciences and Mathematics
来源：
The Journal of Geometric Analysis | 2019年 / 29卷
关键词：
Harmonic functions; Convex domain; Hardy spaces; Primary 31R05; Secondary 42B30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We extend the classical Schwarz–Pick inequality to the class of harmonic mappings between the unit disk and a Jordan domain with given perimeter. It is intriguing that the extremals in this case are certain harmonic diffeomorphisms between the unit disk and a convex domain that solve the Beltrami equation of second order.
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页码：392 / 401
页数：9
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