HYPERBOLIC LAMBERT QUADRILATERALS AND QUASICONFORMAL MAPPINGS

被引：7

作者：

Vuorinen, Matti ^{[1
]}

Wang, Gendi ^{[1
]}

机构：

[1] Univ Turku, Dept Math & Stat, FI-20014 Turku, Finland

来源：

ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA | 2013年 / 38卷 / 02期

基金：

芬兰科学院;

关键词：

Hyperbolic quadrilateral; quasiconformal mapping; INEQUALITIES; CONVEXITY; CONCAVITY; RESPECT;

D O I：

10.5186/aasfm.2013.3845

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove sharp bounds for the product and the sum of two hyperbolic distances between the opposite sides of hyperbolic Lambert quadrilaterals in the unit disk. Furthermore, we study the images of Lambert quadrilaterals under quasiconformal mappings from the unit disk onto itself and obtain sharp results in this case, too.

引用

页码：433 / 453

页数：21

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