An elementary proof of the Brezis and Mironescu theorem on the composition operator in fractional Sobolev spaces

被引：17

作者：

Maz'ya, V ^{[1
]}

Shaposhnikova, T ^{[1
]}

机构：

[1] Linkoping Univ, Dept Math, S-58183 Linkoping, Sweden

来源：

JOURNAL OF EVOLUTION EQUATIONS | 2002年 / 2卷 / 01期

关键词：

composition operator; fractional Sobolev spaces; Gagliardo-Nirenberg inequalities; pointwise interpolation inequalities;

D O I：

10.1007/s00028-002-8082-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An elementary proof of the Brezis and Mironescu theorem on the boundedness and continuity of the composition operator: W-s,W-p (R-n) boolean AND W-1,W-sp (R-n) --> W-s,W-p (R-n) is given. The proof includes the case p = 1.

引用

页码：113 / 125

页数：13

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[4]

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[5]

Mazya V., 1999, Math. Bohem., V124, P131

[6]

Runst T, 1996, SOBOLEV SPACES FRACT

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