Weighted variation inequalities for singular integrals and commutators

被引：4
作者：
Wen, Yongming [1 ,2 ]
Wu, Huoxiong [1 ]
Zhang, Jing [3 ]
机构：
[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
[2] Minnan Normal Univ, Sch Math & Stat, Zhangzhou 363000, Peoples R China
[3] Yili Normal Univ, Sch Math Stat, Xinjiang 835000, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2020年 / 485卷 / 02期
关键词：
Variation; Mixed weak-type estimates; Commutators; Weighted BMO; C-p estimates; WEAK-TYPE INEQUALITIES; HIGHER-ORDER COMMUTATORS; NORM INEQUALITIES; MAXIMAL-FUNCTION; OSCILLATION; POINTWISE; OPERATORS; JUMP;
D O I：
10.1016/j.jmaa.2019.123825
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we extend the mixed weak-type inequalities of Sawyer type for Calderon-Zygmund operators to the variation operators of theta-type Calderon-Zygmund operators. Moreover, the corresponding quantitative weighted bounds as well as the weighted estimates in the extreme case p = infinity are also obtained. Meanwhile, we also present the quantitative Bloom type estimate and C-p estimates for variation operators of commutators. (C) 2020 Elsevier Inc. All rights reserved.
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页数：16
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