Borderline Weighted Estimates for Commutators of Fractional Integrals

被引：1
|
作者：
Wang, Zhidan [1 ]
Wu, Huoxiong [2 ]
Xue, Qingying [1 ]
机构：
[1] Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R China
[2] Xiamen Univ, Sch Math Sci, Xiamen 361005, Fujian, Peoples R China
来源：
ANALYSIS IN THEORY AND APPLICATIONS | 2021年 / 37卷 / 03期
关键词：
Commutators; fractional integrals; borderline weighted estimates; Fefferman-Stein inequality; NORM INEQUALITIES; SINGULAR-INTEGRALS;
D O I：
10.4208/ata.2021.lu80.08
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let I-alpha,I-(b) over right arrow be the multilinear commutators of the fractional integrals I-alpha with the symbol (b) over right arrow = (b(1),..., b(k)). We show that the constant of borderline weighted estimates for I-alpha is 1/epsilon, and for I-alpha,I-(b) over right arrow is 1/epsilon(k+1) with each b(i) belongs to the Orlicz space Osc(exp) L(s)i.
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页码：404 / 425
页数：22
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