数学物理学报(英文版) ›› 2014, Vol. 34 ›› Issue (3): 779-789.doi: 10.1016/S0252-9602(14)60048-5

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ATOMIC DECOMPOSITION OF μ-BERGMAN SPACE IN Cn

张学军, 席利华, 范海霞, 李俊锋   

  1. College of Mathematics and Computer Science, Hunan Normal University, Changsha 410081, China|College of Mathematics and Computer Science, Hunan City University, Yiyang 413000, China
  • 收稿日期:2013-02-26 修回日期:2013-07-08 出版日期:2014-05-20 发布日期:2014-05-20
  • 基金资助:

    The first author is supported by the Education Depart-ment Important Foundation of Hunan Province in China (10A074), and College of Mathematics and Computer Science, Key Laboratory of High Performance Computing and Stochastic Information Processing (Ministry of Education of China), Hunan Normal University, and the Construct Program of the Key Discipline in Hunan Province; the fourth author is supported by the Education Department Important Foundation of Hunan Province in China (12A206).

ATOMIC DECOMPOSITION OF μ-BERGMAN SPACE IN Cn

 ZHANG Xue-Jun, XI Li-Hua, FAN Hai-Xia, LI Jun-Feng   

  1. College of Mathematics and Computer Science, Hunan Normal University, Changsha 410081, China|College of Mathematics and Computer Science, Hunan City University, Yiyang 413000, China
  • Received:2013-02-26 Revised:2013-07-08 Online:2014-05-20 Published:2014-05-20
  • Supported by:

    The first author is supported by the Education Depart-ment Important Foundation of Hunan Province in China (10A074), and College of Mathematics and Computer Science, Key Laboratory of High Performance Computing and Stochastic Information Processing (Ministry of Education of China), Hunan Normal University, and the Construct Program of the Key Discipline in Hunan Province; the fourth author is supported by the Education Department Important Foundation of Hunan Province in China (12A206).

摘要:

Let μ be a normal function on [0, 1). The atomic decomposition of the μ-Bergman space in the unit ball B is given for all p > 0.

关键词: μ-Bergman space, atomic decomposition, unit ball

Abstract:

Let μ be a normal function on [0, 1). The atomic decomposition of the μ-Bergman space in the unit ball B is given for all p > 0.

Key words: μ-Bergman space, atomic decomposition, unit ball

中图分类号: 

  • 32A37