WEIGHTED SOBOLEV INEQUALITIES AND HARMONIC MEASURE ASSOCIATED WITH QUASI-REGULAR FUNCTIONS

被引：1

作者：

OKSENDAL, B

机构：

[1] Dept. of Mathematics, University of Oslo, 1053, Blindern

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 1990年 / 15卷 / 10期

关键词：

D O I：

10.1080/03605309908820732

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A weighted Sobolev inequality in Rn of the form [formula ommited] is established Jϕ being the Jacobian determinant of a quasiregular function ϕ on a bounded domain U ⊂ Rn. This is used to prove the existence of the harmonic measure of the diffusion Xt associated to ϕ. As an application a new result about boundary values of quasiregular functions is proved. © 1990, Taylor & Francis Group, LLC. All rights reserved.

引用

页码：1447 / 1459

页数：13

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[No title captured]

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