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加权Bergman空间到加权Bloch空间的加权复合算子
引用本文:邹堃,谭海鸥.加权Bergman空间到加权Bloch空间的加权复合算子[J].五邑大学学报(自然科学版),2010,24(3):46-49.
作者姓名:邹堃  谭海鸥
作者单位:五邑大学,数学与计算科学学院,广东,江门,529020
摘    要:定义了加权复合算子(uCφ)(f)(z)=u(z)f(φ(z)),z∈D,f∈H(D);研究了由一个单位圆盘上的解析自映射诱导的、从加权Bergman空间到加权Bloch空间的加权复合算子的有界性和紧性.

关 键 词:加权Bergman空间  加权Bloch空间  加权复合算子  有界性  紧性

Weighted Composition Operators from Weighted Bergman Space into Weighted Bloch Space
ZOU Kun,TAN Hai-ou.Weighted Composition Operators from Weighted Bergman Space into Weighted Bloch Space[J].Journal of Wuyi University(Natural Science Edition),2010,24(3):46-49.
Authors:ZOU Kun  TAN Hai-ou
Institution:(School of Mathematics and Computational Science,Wuyi University,Jiangmen 529020,China)
Abstract:The weighted composition operator is defined by(uCφ)(f)(z) = u(z) f(φ(z)),z∈D,f∈H(D).This paper studies the boundedness and compactness of the weighted composition operators from the weighted Bergman space to the weighted Bloch space.
Keywords:weighted Bergman space  weighted Bloch space  weighted composition operator  boundedness  compactness
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