Product of Extension Domains is still an Extension Domain

被引：2

作者：

Koskela, Pekka ^{[1
]}

Zhu, Zheng ^{[1
]}

机构：

[1] Univ Jyvaskyla, Dept Math & Stat, POB 35, FI-40014 Jyvaskyla, Finland

来源：

INDIANA UNIVERSITY MATHEMATICS JOURNAL | 2020年 / 69卷 / 01期

基金：

芬兰科学院;

关键词：

Sobolev extension; product; REGULAR SUBSETS;

D O I：

10.1512/iumj.2020.69.8366

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Our main result gives a functional property of the class of W-1,W-p-extension domains. Let Omega(1) subset of R-n and Omega(2) subset of R-m both be W-1,W-p-extensiondomains for some 1 < p <= infinity. We prove that Omega(1) x Omega(2) subset of Rn+m is also a W-1,W-p-extensiondomain. We also establish the converse statement.

引用

页码：137 / 150

页数：14

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