广义Beurling-Ahlfors'扩张的伸张函数的估计

数学季刊 ›› 1997, Vol. 12 ›› Issue (2): 75-78.

广义Beurling-Ahlfors'扩张的伸张函数的估计

Jining Teacher's College,272125；Taizhou Teacher's College,317000

收稿日期:1996-06-20 出版日期:1997-06-30 发布日期:2024-12-05

Estimation for the Dilatation of the Generalized Beurling-Ahlfors' Extension

Jining Teacher's College,272125；Taizhou Teacher's College,317000

Received:1996-06-20 Online:1997-06-30 Published:2024-12-05

摘要/Abstract

摘要： The Beurling-Ahlfors' extension is studied under relatively general conditions and its dilatation fonction is estimated. Particularly, the classic Deurling -Ahlfors' theorem can be obtained under the M-condition.

关键词: quasiconfornal mapping, quasiconformal honeomorphism, Beurling-Ahlfors'exten- sion, dilatation function, quasisymmetric function

Abstract: The Beurling-Ahlfors' extension is studied under relatively general conditions and its dilatation fonction is estimated. Particularly, the classic Deurling -Ahlfors' theorem can be obtained under the M-condition.

Key words: quasiconfornal mapping, quasiconformal honeomorphism, Beurling-Ahlfors'exten- sion, dilatation function, quasisymmetric function

中图分类号:

O174

姜天权, 郑学良 . 广义Beurling-Ahlfors'扩张的伸张函数的估计[J]. 数学季刊, 1997, 12(2): 75-78.

Jiang Tianquan, Zheng Xueliang. Estimation for the Dilatation of the Generalized Beurling-Ahlfors' Extension[J]. Chinese Quarterly Journal of Mathematics, 1997, 12(2): 75-78.