Weighted Norm Inequalities for Calderon-Zygmund Operators of f-Type and Their Commutators

被引：0
|
作者：
Hang, Li [1 ]
Zhou, Jiang [1 ]
机构：
[1] Xinjiang Univ, Urumqi, Peoples R China
来源：
JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES | 2023年 / 58卷 / 03期
基金：
中国国家自然科学基金;
关键词：
A(p)(theta)(phi) weights; Morrey space; BMO theta(phi); Calderon-Zygmund operators; commutators; SPACES;
D O I：
10.3103/S1068362323030068
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce new weighted Morrey spaces L-theta,omega(p,k) (f) associated with a nondecreasing function f of upper type beta with beta > 0, where omega epsilon A(p)(theta)(phi) and phi(alpha t) <= C alpha(beta)phi(t), then we obtain the weighted strong type and weak endpoint estimates for Caldero ' n-Zygmund operators of f-type and their commutators [b, T] on new weighted Morrey spaces L-theta,omega(p,k) (phi), where b epsilon BMO theta(f).
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页码：152 / 166
页数：15
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