BOUNDEDNESS AND COMPACTNESS FOR THE COMMUTATOR OF THE ω-TYPE CALDERON-ZYGMUND OPERATOR ON LORENTZ SPACE

被引：0
|
作者：
Tao, Xiangxing [1 ]
Zeng, Yuan [1 ]
Yu, Xiao [2 ]
机构：
[1] Zhejiang Univ Sci & Technol, Dept Math, Hangzhou 310023, Peoples R China
[2] Shangrao Normal Univ, Dept Math, Shangrao 334001, Peoples R China
来源：
ACTA MATHEMATICA SCIENTIA | 2023年 / 43卷 / 04期
关键词：
omega-type Calderon-Zygmund operator; commutators; Lorentz space; homogeneous space; HARDY-SPACES;
D O I：
10.1007/s10473-023-0409-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, the authors consider the omega-type Calderon-Zygmund operator T-omega and the commutator [b, T-omega] generated by a symbol function b on the Lorentz space L-p,L-r (X) over the homogeneous space (X, d, mu). The boundedness and the compactness of the commutator [b, T-omega] on Lorentz space L-p,L-r (X) are founded for any p is an element of (1, infinity) and r is an element of [1, infinity).
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页码：1587 / 1602
页数：16
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