ON REGULAR HOMEOMORPHISMS IN THE PLANE

被引：0

作者：

Salimov, Ruslan ^{[1
]}

机构：

[1] Natl Acad Sci Ukraine, Inst Appl Math & Mech, UA-83114 Donetsk, Ukraine

来源：

ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA | 2010年 / 35卷 / 01期

关键词：

Ring Q-homeomorphisms; regular homeomorphisms; modulus; absolute continuity on lines; differentiability; Sobolev's classes; DIFFERENTIABILITY; MAPPINGS; ACL;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A regular homeomorphism of the Sobolev class W(loc)(1,1) in the plane domain D is a ring Q-homeomorphism with Q(z) = K(mu)(T)(z, z(0)) where K(mu)(T)(z, z(0)) is the tangential dilatation of f at z(0) is an element of D.

引用

页码：285 / 289

页数：5

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