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指数权Bergman空间Aφp和Aφ∞
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指数权Bergman空间Aφp和Aφ∞间的算子 何忠华1, 王晓峰2, 刘柚岐21. 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 Toeplitz Operators Between Bergman Spaces with Exponential Weights Aφp and Aφ∞ Zhong Hua HE1, Xiao Feng WANG2, You Qi LIU21. School of Financial Mathematics and Statistics, Guangdong University of Finance, Guangzhou 510521, P. R. China;
2. 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
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摘要本文主要讨论单位圆盘上指数权Bergman空间Aφp和Aφ∞(0 < p < ∞)之间由正Borel测度μ所诱导的Toeplitz算子Tμ,借助Berezin变换和平均函数刻画该类算子的有界性和紧性.
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收稿日期: 2020-07-07
MR (2010):O177.1
基金资助: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)
通讯作者:王晓峰,E-mail:wxf@gzhu.edu.cnE-mail: wxf@gzhu.edu.cn
作者简介: 何忠华,E-mail:zhonghuahe2010@163.com;刘柚岐,E-mail:youqi_liu@foxmail.com
引用本文:
何忠华, 王晓峰, 刘柚岐. 指数权Bergman空间Aφp和Aφ∞间的算子[J]. 数学学报, 2021, 64(4): 655-668. Zhong Hua HE, Xiao Feng WANG, You Qi LIU. Toeplitz Operators Between Bergman Spaces with Exponential Weights Aφp and Aφ∞. Acta Mathematica Sinica, Chinese Series, 2021, 64(4): 655-668.
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