Bilinear Sobolev-Poincare, Inequalities and Leibniz-Type Rules

被引：27

作者：

Bernicot, Frederic ^{[1
]}

Maldonado, Diego ^{[2
]}

Moen, Kabe ^{[3
]}

Naibo, Virginia ^{[2
]}

机构：

[1] Univ Nantes, CNRS, Lab Jean Leray, F-44322 Nantes 3, France

[2] Kansas State Univ, Dept Math, Manhattan, KS 66506 USA

[3] Univ Alabama, Dept Math, Tuscaloosa, AL 35487 USA

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2014年 / 24卷 / 02期

基金：

美国国家科学基金会;

关键词：

Bilinear operators; Poincare inequalities; Pseudodifferential operators; Fractional Leibniz rules; OPERATORS; SPACES; BOUNDEDNESS;

D O I：

10.1007/s12220-012-9367-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The dual purpose of this article is to establish bilinear Poincar,-type estimates associated with an approximation of the identity and to explore the connections between bilinear pseudo-differential operators and bilinear potential-type operators. The common underlying theme in both topics is their applications to Leibniz-type rules in Sobolev and Campanato-Morrey spaces under Sobolev scaling.

引用

页码：1144 / 1180

页数：37

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