Sharp weighted bounds for the q-variation of singular integrals

被引：67

作者：

Hytonen, Tuomas P. ^{[1
]}

Lacey, Michael T. ^{[2
]}

Perez, Carlos ^{[3
]}

机构：

[1] Univ Helsinki, Dept Math & Stat, FI-00014 Helsinki, Finland

[2] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA

[3] Univ Seville, Fac Matemat, Dept Anal Matemat, E-41080 Seville, Spain

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2013年 / 45卷

基金：

芬兰科学院; 美国国家科学基金会;

关键词：

CALDERON-ZYGMUND OPERATORS; OSCILLATION; SPACES;

D O I：

10.1112/blms/bds114

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We extend the sharp weighted bound of the A(2) theorem to the q-variation norm of certain Calderon-Zygmund operators (q > 2), a stronger nonlinearity than the maximal truncations that have been treated before. We obtain this result by a new non-probabilistic approach that was independently discovered by Lerner.

引用

页码：529 / 540

页数：12

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