Compact Differences of Composition Operators on the Bergman Spaces Over the Ball

被引：0
作者：
Boo Rim Choe
Hyungwoon Koo
Inyoung Park
机构：
[1] Korea University,Department of Mathematics
[2] Seoul National University,BK21
来源：
Potential Analysis | 2014年 / 40卷
关键词：
Composition operator; Compact difference; Compact combination; Weighted Bergman space ; Ball; Primary 47B33; Secondary 32A35; 32A36;
D O I：
暂无
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学科分类号：
摘要：
The compact differences of composition operators acting on the weighted L2-Bergman space over the unit disk is characterized by the angular derivative cancellation property and due to Moorhouse. In this paper we extend Moorhouse’s characterization, as well as some related results, to the ball and, at the same time, to the weighted Lp-Bergman space for the full range of p.
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页码：81 / 102
页数：21
相关论文
共 23 条
  • [1] Choe BR(2012)Compact differences of composition operators over polydisks Integr. Equ. Oper. Theory 73 57-91
  • [2] Koo H(2001)Compact composition operators on weighted Bergman spaces of the unit ball J. Oper. Theory 45 335-355
  • [3] Park I(2000)Linear frcational maps of the unit ball and their composition operators Acta Sci. Math. (Szeged) 66 351-376
  • [4] Clahane D(2011)Compact differences of composition operators in several variables Integr. Equ. Oper. Theory 69 247-268
  • [5] Cowen C(2011)Compact differences of composition operators on holomorphic function spaces in the unit ball Acta Math. Sci. Ser. B 31 1679-1693
  • [6] MacCluer B(2010)Compact differences of composition operators on Bergman spaces in the unit ball J. Aust. Math. Soc. 89 407-418
  • [7] Heller K(2007)Composition operators induced by smooth self-maps of the unit ball in J. Math. Anal. Appl. 329 617-633
  • [8] MacCluer B(2007)Linear relations in the Calkin algebra for composition operators Trans. Am. Math. Soc. 359 2915-2944
  • [9] Weir R(1986)Angular derivatives and compact composition operators on the Hardy and Bergman spaces Canad. J. Math. 38 878-906
  • [10] Jiang L(2005)Compact differences of composition operators J. Funct. Anal. 219 70-92
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