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个人信息Personal Information
教授
博士生导师
硕士生导师
性别：男
毕业院校：纽约州立大学奥尔巴尔分校
学位：博士
所在单位：数学科学学院
学科：基础数学
电子邮箱：yangyixin@dlut.edu.cn
A class of complex symmetric Toeplitz operators on Hardy and Bergman spaces
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论文类型：期刊论文
发表时间：2020-09-15
发表刊物：JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
收录刊物：SCIE
卷号：489
期号：2
ISSN号：0022-247X
关键字：Toeplitz operator; Complex symmetric operator; Berezin transform
摘要：An operator T epsilon B(H) is complex symmetric if there exists a conjugation Con Hso that CTC= T*. In this paper, we characterize the complex symmetric Toeplitz operator on the Hardy and Bergman space. In particular, we show that the Toeplitz operator induced by the Berezin transform of a complex symmetric operator on Hardy space is also complex symmetric with the same conjugation. However, we see that this is not true for Bergman space by providing some examples. (C) 2020 Elsevier Inc. All rights reserved.