Local real analysis in locally homogeneous spaces

被引：10

作者：

Bramanti, Marco ^{[1
]}

Zhu, Maochun ^{[2
]}

机构：

[1] Politecn Milan, Dipartimento Matemat, I-20133 Milan, Italy

[2] Northwestern Polytech Univ, Dept Appl Math, Xian 710129, Shaanxi, Peoples R China

来源：

MANUSCRIPTA MATHEMATICA | 2012年 / 138卷 / 3-4期

基金：

中国国家自然科学基金;

关键词：

SINGULAR-INTEGRALS; OPERATORS; BMO;

D O I：

10.1007/s00229-011-0501-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce the concept of locally homogeneous space, and prove in this context and estimates for singular and fractional integrals, as well as estimates on the commutator of a singular or fractional integral with a or function. These results are motivated by local a priori estimates for subelliptic equations.

引用

页码：477 / 528

页数：52

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