Function Spaces of Lizorkin-Triebel Type on an Irregular Domain

被引：13
|
作者：
Besov, O. V. [1 ]
机构：
[1] Russian Acad Sci, VA Steklov Math Inst, Moscow 119991, Russia
来源：
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2008年 / 260卷 / 01期
基金：
俄罗斯基础研究基金会;
关键词：
D O I：
10.1134/S0081543808010033
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
On an irregular domain G subset of R(n) of a certain type, we introduce function spaces of fractional smoothness s > 0 that are similar to the Lizorkin-Triebel spaces. We prove embedding theorems that show how these spaces are related to the Sobolev and Lebesgue spaces W(p)(m)(G) and L(p)(G).
引用
收藏
页码：25 / 36
页数：12
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