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广义Bergman空间上的复合算子(英文) 被引量:2

Composition Operators on Generalized Bergman Spaces
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摘要 本文研究了广义Bergman空间上的复合算子,利用单位球上的回拉测度,给出了这类算子有界及紧的充要条件. We study the composition operators on generalized Bergman spaces. By pull- back measure on the unit ball, we give some sufficient and necessary conditions for such operators to be bounded or compact.
作者 张超 曹广福
出处 《数学进展》 CSCD 北大核心 2014年第2期295-300,共6页 Advances in Mathematics(China)
基金 supported by NSFC(No.10971040)
关键词 复合算子 广义Bergman空间 有界性 紧性 composition operator generalized Bergman space boundedness compactness
作者简介 E-mail: zhangchaomhw2003@126.com
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参考文献5

  • 1Cowen, C. and MacCluer, B., Composition Operators on Spaces of Analytic Functions, Boca Raton: CRC, 1995.
  • 2Gu, D.G., Weighted Composition operators from generalized weighted Bergman spaces to weighted-type spaces, Journal of Inequalities and Applications, 2008, Article ID: 619525, 14 pages.
  • 3Tchoundja, E., Carleson Measures for the generalized Bergman spaces via a T(1)-type theorem, Ark. Mat., 2008, 46: 377-406.
  • 4Zhao, R.H. and Zhu, K.H., Theory of Bergman spaces in the unit ball of Cn, Mdm. Soc. Math. Fr., 2008, 115, vi+103 pages.
  • 5Zhu, X.L., Generalized composition operators from generalized weighted Bergman spaces to Bloch type spaces, J. Korean Math. Soc., 2009, 46: 1219-1232.

同被引文献15

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  • 4CUCKOVIC,ZHAO Ru-han. Weighted composition operators on the Bergman space[ J]. Journal of the London Mathemati- cal Society ,2004,70 ( 2 ) :499-511.
  • 5ZHOU Ze-hua, CHEN Ren-yu. Weighted composition operator from F(p,q,s) to Bloeh type spaces on the unit ball[ J 1. In- ternational Journal of Mathematics ,2008,19 ( 8 ) :899-926.
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  • 10LI Song-xiao. Voherra composition operators between weighted Bergman spaces and Bloch type spaces [ J ]. Journal of the Korean Mathematical Society ,2008,45 (1) :229-248.

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