Some properties of Sobolev spaces

被引：0
|
作者：
Borghol, Rouba [1 ]
机构：
[1] Univ Tours, Dept Math, F-37041 Tours, France
来源：
ASYMPTOTIC ANALYSIS | 2007年 / 51卷 / 3-4期
关键词：
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this paper is to present some new characterizations of the Sobolev spaces W-k,W-p(Omega) where 1 < p < infinity, k >= 2 and Omega is a bounded smooth domain of R-N. For p = 1, we prove same results by replacing W-k,W-1(Omega) by the BVk(Omega) space. As an application we show how to recognize polynomial functions among locally integrable functions.
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页码：303 / 318
页数：16
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