指数权Bergman空间A_(φ)^(p)和A_(φ)^(∞)间的Toeplitz算子  

Toeplitz Operators Between Bergman Spaces with Exponential Weights A_(φ)^(p) and A_(φ)^(∞)

作　　者：何忠华 王晓峰[2] 刘柚岐 Zhong Hua HE;Xiao Feng WANG;You Qi LIU(School of Financial Mathematics and Statistics,Guangdong University of Finance,Guangzhou 510521,P.R.China;School of Mathematics and Information Science and Key Laboratory of Mathematics and Interdisciplinary Sciences of the Guangdong Higher Education Institute,Guangzhou University,Guangzhou 510006,P.R.China)

机构地区：[1]广东金融学院金融数学与统计学院,广州510521 [2]广州大学数学与信息科学学院广东高等学校交叉学科实验室,广州510006

出　　处：《数学学报（中文版）》2021年第4期655-668,共14页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金(11971125,11971123);广东省高校重点科研平台与科研项目(2018KZDXM048)。

摘　　要：本文主要讨论单位圆盘上指数权Bergman空间A_(φ)^(p)和A_(φ)^(∞)(0<p<∞)之间由正Borel测度μ所诱导的Toeplitz算子T_(μ),借助Berezin变换和平均函数刻画该类算子的有界性和紧性.We consider Toeplitz operators T_(μ) with positive Borel measure symbol μ between Bergman spaces A_(φ)^(p) and A_(φ)^(∞) for 0<p<∞,where is Bergman space on the unit disk D with exponential weights.Some characte Tizations of their boundedness and compac tn ess are given in t erms of Berezin transforms and averaging functions.

关 键 词：指数权Bergman空间 TOEPLITZ算子 BEREZIN变换 平均函数 

分 类 号：O177.1[理学—数学]