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

被引：0
作者：
Tao Ma
José L. Torrea
QuanHua Xu
机构：
[1] Wuhan University,School of Mathematics and Statistics
[2] Universidad Autónoma de Madrid,Departamento de Matemáticas
[3] Harbin Institute of Technology,Institute for Advanced Study in Mathematics
[4] Université de Franche-Comté,Laboratoire de Mathématiques
[5] Institut Universitaire de France,undefined
来源：
Science China Mathematics | 2017年 / 60卷
关键词：
variation inequalities; weights; differential operators; singular integrals; vector-valued variation inequalities; 42B20; 42B25; 46E30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We prove weighted q-variation inequalities with 2 < q < ∞ 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.
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页码：1419 / 1442
页数：23
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