A-INFINITY-CONDITION FOR THE JACOBIAN OF A QUASI-CONFORMAL MAPPING

被引：6

作者：

HEINONEN, J ^{[1
]}

KOSKELA, P ^{[1
]}

机构：

[1] UNIV JYVASKYLA,DEPT MATH,SF-40100 JYVASKYLA,FINLAND

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1994年 / 120卷 / 02期

关键词：

QUASI-CONFORMAL MAPPING; A-INFINITY WEIGHT; JOHN DOMAIN;

D O I：

10.2307/2159892

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that the Jacobian J(f) of a quasi-conformal mapping f:B(n) --> D is an A(infinity)-weight in B(n) if and only if D is a John domain. A similar question concerning J(f-1) is also studied.

引用

页码：535 / 543

页数：9

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