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2002•Wuhan University JournalRequires access

Collectively Compact Composition Operator Sequences on Bergman Space

Пэйдэ Лю

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Abstract

We give a function theoretic characterization for collectively compact composition operator sequences on Bergman space. The result shows that certain growth condition for generalized Nevanlinna counting functions of the inducing maps is necessary and sufficient for the collective compactness of composition operator sequences. The result extends W. Smith's result.

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What this paper is about

We give a function theoretic characterization for collectively compact composition operator sequences on Bergman space. The result shows that certain growth condition for generalized Nevanlinna counting functions of the inducing maps is necessary and sufficient for the collective compactness of composition operator sequences. The result extends W. Smith's result.

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Available abstract

We give a function theoretic characterization for collectively compact composition operator sequences on Bergman space. The result shows that certain growth condition for generalized Nevanlinna counting functions of the inducing maps is necessary and sufficient for the collective compactness of composition operator sequences. The result extends W. Smith's result.

Key concepts: Composition operator, Compact space, Composition (language), Mathematics, Bergman space, Operator (biology), Pure mathematics, Compact operator

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