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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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Properties of Commutativity of Dual Toeplitz Operators on the Orthogonal Complement of Pluriharmonic Dirichlet Space over the Ball
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论文类型：期刊论文
发表时间：2016-01-01
发表刊物：JOURNAL OF FUNCTION SPACES
收录刊物：SCIE
ISSN号：2314-8896
摘要：We completely characterize the pluriharmonic symbols for (semi) commuting dual Toeplitz operators on the orthogonal complement of the pluriharmonic Dirichlet space in Sobolev space of the unit ball. We show that, for f and g pluriharmonic functions, SfSg = SgSf on (D-h)(perpendicular to) if and only if f and g satisfy one of the following conditions: (1) both f and g are holomorphic; (2) both (f) over bar and (g) over bar are holomorphic; (3) there are constants alpha and beta, both not being zero, such that alpha f + beta g is constant.