Toeplitz Operators and Carleson Measures for Weighted Bergman Spaces Induced by Regular Weights

被引：0
|
作者：
Du, Jun Tao [1 ,2 ]
Li, Song Xiao [2 ]
Wulan, Hasi [2 ]
机构：
[1] Guangdong Univ Petrochem Technol, Dept Math, Maoming 525000, Peoples R China
[2] Shantou Univ, Dept Math, Shantou 515063, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2024年 / 40卷 / 05期
关键词：
Bergman space; Carleson measure; Toeplitz operator; regular weight;
D O I：
10.1007/s10114-023-2396-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we give a universal description of the boundedness and compactness of Toeplitz operator T-mu(omega) between Bergman spaces A(eta)(p) and A(upsilon)(q) when mu is a positive Borel measure, 1 < p, q < infinity and omega, eta, upsilon are regular weights. By using Khinchin's inequality and Kahane's inequality, we get a new characterization of the Carleson measure for Bergman spaces induced by regular weights.
引用
收藏
页码：1345 / 1359
页数：15
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