Lp ESTIMATES FOR THE VARIATION FOR SINGULAR INTEGRALS ON UNIFORMLY RECTIFIABLE SETS

被引：6
|
作者：
Mas, Albert [1 ,2 ]
Tolsa, Xavier [3 ,4 ,5 ]
机构：
[1] Univ Politecn Cataluna, Dept Matemat Aplicada 1, ETSEIB, Avda Diagonal 647, E-08028 Barcelona, Spain
[2] Univ Barcelona, Dept Matemat & Informat, Gran Via 585, E-08007 Barcelona, Spain
[3] ICREA, Passeig Lluis Co,23, Barcelona 08010, Catalonia, Spain
[4] Univ Autonoma Barcelona, Dept Matemat, Edifici C Fac Ciencies, E-08193 Barcelona, Catalonia, Spain
[5] Univ Autonoma Barcelona, BGS Math, Edifici C Fac Ciencies, E-08193 Barcelona, Catalonia, Spain
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2017年 / 369卷 / 11期
基金：
欧洲研究理事会;
关键词：
VARIATION INEQUALITIES; RIESZ TRANSFORM; ODD KERNEL; OSCILLATION; OPERATORS;
D O I：
10.1090/tran/6987
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The L-p (1 < p < 8) and weak-L-1 estimates for the variation for Calderon-Zygmund operators with smooth odd kernel on uniformly rectifiable measures are proven. The L-2 boundedness and the corona decomposition method are two key ingredients of the proof.
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页码：8239 / 8275
页数：37
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