A GLUING THEOREM FOR QUASICONFORMAL MAPPINGS

被引：5

作者：

Jiang, Yunping ^{[1
,2
]}

Qi, Yi ^{[3
]}

机构：

[1] CUNY Queens Coll, Dept Math, Flushing, NY 11367 USA

[2] CUNY, Grad Sch, Dept Math, New York, NY 10016 USA

[3] Beihang Univ, Sch Math & Syst Sci, Beijing 100191, Peoples R China

来源：

KODAI MATHEMATICAL JOURNAL | 2012年 / 35卷 / 03期

基金：

中国国家自然科学基金;

关键词：

main inequality; conformal germ; gluing;

D O I：

10.2996/kmj/1352985446

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove, by using the main inequality of Reich and Strebel, that any n K-quasiconformal germs defined on n disjoint domains in the Riemann sphere can be glued by one (K + epsilon)-quasiconformal homeomorphism, where epsilon is a positive number which can go to zero as the domains of germs shrinking to n points. This generalizes a result in [8] where only the case K = 1 has been considered.

引用

页码：415 / 424

页数：10

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