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A characterization of Nevanlinna class in the unit ball and its applications
作者姓名:ZHOU Zehu  WEI Zhongqi
作者单位:Department of Mathematics, Tianjin University, Tianjin 300072, China,Department of Mathematics, Tianjin University, Tianjin 300072, China
基金项目:Supported by the National Natural Science Foundation of China (Grant Nos: 19871081, 10001030) and Liuhui Center for Applied Mathematics, Nankai University and Tianjin University
摘    要:A characterization of a holomorphic function lying in the Nevanlinna class of the unit ball of C n is given. As its application, the boundedness and compactness of the composition operator on the Nevanlinna class are discussed.

关 键 词:Nevanlinna  class    invariant  Laplacian    composition  operator

A characterization of Nevanlinna class in the unit ball and its applications
ZHOU Zehu,WEI Zhongqi.A characterization of Nevanlinna class in the unit ball and its applications[J].Progress in Natural Science,2002,12(5):331-335.
Authors:Zhou Zehua  Wei Zhongqi
Institution:Department of Mathematics, Tianjin University, Tianjin 300072, China
Abstract:A characterization of a holomorphic function lying in the Nevanlinna class of the unit ball of C n is given. As its application, the boundedness and compactness of the composition operator on the Nevanlinna class are discussed.
Keywords:Nevanlinna class  invariant Laplacian  composition operator
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