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.

引用

页码：303 / 318

页数：16

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