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

作　　者：Jun Tao DU Song Xiao Hasi WULAN 

机构地区：[1]Department of Mathematics,Guangdong University of Petrochemical Technology,Maoming 525000,P.R.China [2]Department of Mathematics,Shantou University,Shantou 515063,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2024年第5期1345-1359,共15页数学学报（英文版）

基　　金：supported by NNSF of China(Grant No.12271328);Guangdong Basic and Applied Basic Research Foundation(Grant No.2022A1515012117);Projects of Talents Recruitment of GDUPT(Grant No.2022rcyj2008);supported by STU Scientific Research Initiation Grant(Grant No.NTF23004)。

摘　　要：In this paper,we give a universal description of the boundedness and compactness of Toeplitz operator T_(μ)^(ω)between Bergman spaces A_(η)^(p)and A_(υ)^(q)whenμis a positive Borel measure,1<p,q<∞andω,η,υare 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.

关 键 词：Bergman space Carleson measure Toeplitz operator regular weight 

分 类 号：O177[理学—数学]