On μ-conformal homeomorphisms and boundary correspondence

被引：4

作者：

Gutlyanskii, Vladimir ^{[1
]}

Sakan, Ken-ichi ^{[2
]}

Sugawa, Toshiyuki ^{[3
]}

机构：

[1] NAS Ukraine, Inst Appl Math & Mech, UA-83114 Donetsk, Ukraine

[2] Osaka City Univ, Dept Math, Grad Sch Sci, Sumiyoshi Ku, Osaka 558, Japan

[3] Tohoku Univ, Grad Sch Informat Sci, Aoba Ku, Sendai, Miyagi 9808579, Japan

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2013年 / 58卷 / 07期

关键词：

quasiconformal mappings; mu-homeomorphism; Beltrami equation; annulus; MU(Z)-HOMEOMORPHISMS; SUFFICIENT; VIEWPOINT; MAPPINGS; POINT;

D O I：

10.1080/17476933.2011.613116

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the boundary correspondence under -homeomorphisms f of the open upper half-plane onto itself. Sufficient conditions are given for f to admit a homeomorphic extension to the closed half-plane with prescribed boundary regularity. The proofs are based on the modulus estimates for semiannuli in terms of directional dilatations of f which might be of independent interest.

引用

页码：947 / 962

页数：16

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