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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
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Toeplitz Operators on the Weighted Pluriharmonic Bergman Space with Radial Symbols
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论文类型：期刊论文
发表时间：2011-01-01
发表刊物：ABSTRACT AND APPLIED ANALYSIS
收录刊物：Scopus、SCIE
卷号：2011
ISSN号：1085-3375
摘要：We construct an operator R whose restriction onto weighted pluriharmonic Bergman Space b(mu)(2)(B(n)) is an isometric isomorphism between b(mu)(2)(B(n)) and l(2)(#). Furthermore, using the operator R we prove that each Toeplitz operator T(a) with radial symbols is unitary to the multication operator gamma(a,mu)I. Meanwhile, the Wick function of a Toeplitz operator with radial symbol gives complete information about the operator, providing its spectral decomposition.