A new characterization of Sobolev spaces

被引：46

作者：

Bourgain, Jean

Nguyen, Hoai-Minh

机构：

[1] Inst Adv Study, Princeton, NJ 08540 USA

[2] Univ Paris 06, Lab Jacques Louis Lions, F-75252 Paris 05, France

来源：

COMPTES RENDUS MATHEMATIQUE | 2006年 / 343卷 / 02期

关键词：

D O I：

10.1016/j.crma.2006.05.021

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Our main result is the following: Let g is an element of L-p (R-N), 1 < p < + infinity, be such that [GRAPHICS] for some arbitrary sequence of positive numbers (delta(n))(n is an element of N) with lim(n ->infinity) delta(n) = 0. Then g is an element of W-1,W-p (R-N).

引用

页码：75 / 80

页数：6