Toeplitz Operators on a Class of Radially Weighted Harmonic Bergman Spaces

被引：0
|
作者：
Duan, Yongjiang [1 ]
Guo, Kunyu [2 ]
Wang, Siyu [1 ]
Wang, Zipeng [3 ]
机构：
[1] Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Jilin, Peoples R China
[2] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
[3] Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China
来源：
POTENTIAL ANALYSIS | 2023年 / 59卷 / 04期
关键词：
Toeplitz operator; Carleson measures; Weighted harmonic Bergman space; D weights; BEREZIN TRANSFORM;
D O I：
10.1007/s11118-022-10022-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we completely characterize the boundedness and compactness of Toeplitz operators T-mu,T-omega between weighted harmonic Bergman spaces L-h(p)(omega) and L-h(q)(omega) for 1 < p,q < infinity, where mu is a positive Borel measure and omega belongs to D which consists of the class of radial weights satisfying both forward and reverse doubling conditions.
引用
收藏
页码：1621 / 1641
页数：21
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