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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：吉林大学
学位：博士
所在单位：数学科学学院
学科：基础数学
办公地点：数学科学学院525
电子邮箱：lyfdlut@dlut.edu.cn
Algebraic Properties of Toeplitz and Small Hankel Operators on the Harmonic Bergman Space
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论文类型：期刊论文
发表时间：2014-08-01
发表刊物：ACTA MATHEMATICA SINICA-ENGLISH SERIES
收录刊物：SCIE、ISTIC
卷号：30
期号：8
页面范围：1395-1406
ISSN号：1439-8516
关键字：Toeplitz operator; small Hankel operator; quasihomogeneous symbols; harmonic Bergman space; Mellin transform
摘要：In this paper, we discuss some algebraic properties of Toeplitz operators and small Hankel operators with radial and quasihomogeneous symbols on the harmonic Bergman space of the unit disk in the complex plane C. We solve the product problem of quasihomogeneous Toeplitz operator and quasihomogeneous small Hankel operator. Meanwhile, we characterize the commutativity of quasihomogeneous Toeplitz operator and quasihomogeneous small Hankel operator.