Weighted variation inequalities for differential operators and singular integrals in higher dimensions

被引：44

作者：

Ma, Tao ^{[1
]}

Torrea, Jose L. ^{[2
]}

Xu, QuanHua ^{[3
,4
,5
]}

机构：

[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China

[2] Univ Autonoma Madrid, Dept Matemat, E-28049 Madrid, Spain

[3] Harbin Inst Technol, Inst Adv Study Math, Harbin 150001, Peoples R China

[4] Univ Franche Comte, Lab Math, F-25030 Besancon, France

[5] Inst Univ France, Paris, France

来源：

SCIENCE CHINA-MATHEMATICS | 2017年 / 60卷 / 08期

基金：

中国国家自然科学基金;

关键词：

variation inequalities; A(p) weights; differential operators; singular integrals; vector-valued variation inequalities; ERGODIC-THEORY; P-VARIATION; OSCILLATION; MARTINGALES;

D O I：

10.1007/s11425-016-9012-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove weighted q-variation inequalities with 2 < q < infinity for sharp truncations of singular integral operators in higher dimensions. The vector-valued extensions of these inequalities are also given. Parallel results are proven for differential operators.

引用

页码：1419 / 1442

页数：24

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