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COLLECTIVELY COMPACT COMPOSITION OPERATOR SEQUENCES BETWEEN BERGMAN AND HARDY SPACES 被引量:3

COLLECTIVELY COMPACT COMPOSITION OPERATOR SEQUENCES BETWEEN BERGMAN AND HARDY SPACES
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摘要 This paper studies the collective compactness of composition operator sequences between the Bergman and Hardy spaces. Some sufficient and necessary conditions involving the generalized Nevanlinna counting functions for composition operator sequences to be collectively compact between weighted Bergman spaces are given This paper studies the collective compactness of composition operator sequences between the Bergman and Hardy spaces. Some sufficient and necessary conditions involving the generalized Nevanlinna counting functions for composition operator sequences to be collectively compact between weighted Bergman spaces are given
出处 《Acta Mathematica Scientia》 SCIE CSCD 2004年第2期206-212,共7页 数学物理学报(B辑英文版)
基金 This research is supported by the National Natural Science Foundation of China
关键词 Bergman space Hardy space composition operator collectively compact operator sequence Bergman space Hardy space composition operator collectively compact operator sequence
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  • 1Madigan K,Matheson A.Compact composition operators on the Bloch space[].Transactions of the American Mathematical Society.1995
  • 2Shapiro J H.Composition Operators and Classical Function Theory[]..1993
  • 3Duren P L.Theory of Hp Spaces[]..1970
  • 4Shields A L,Williams D L.Bounded projections, duality, and multipliers in spaces of analytic functions[].Transactions of the American Mathematical Society.1971

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