Weighted norm inequalities for fractional operators

被引：20

作者：

Auscher, Pascal ^{[1
,2
]}

Maria Martell, Jose ^{[3
]}

机构：

[1] Univ Paris 11, F-91405 Orsay, France

[2] CNRS, UMR 8628, F-91405 Orsay, France

[3] CSIC, Inst Ciencias Matemat, UAM UCM UC3M, E-28006 Madrid, Spain

来源：

INDIANA UNIVERSITY MATHEMATICS JOURNAL | 2008年 / 57卷 / 04期

关键词：

Muckenhoupt weights; elliptic operators in divergence form; fractional operators; commutators with bounded mean oscillation functions; good-lambda inequalities;

D O I：

10.1512/iumj.2008.57.3236

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove weighted norm inequalities for fractional powers of elliptic operators together with their commutators with BMO functions, encompassing what is known for the classical Riesz potentials and elliptic operators with Gaussian domination by the classical heat operator. The method relies upon a good-A method that does not use any size or smoothness estimates for the kernels.

引用

页码：1845 / 1869

页数：25

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