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Composition Operators on Weighted Bergman Spaces of Bounded Symmetric Domains

Composition Operators on Weighted Bergman Spaces of Bounded Symmetric Domains
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摘要 The purpose of this paper is to study the composition operators on weightedBergman spaces of bounded symmetric domains.The sufficient and necessary conditions for a composition operator C"to be bounded add corn pact respectively are given in term of the concept of Carleson measure.Meanwhile,the integral characteristic of n such that Cn is a Schatten p-class operator is obtained. The purpose of this paper is to study the composition operators on weightedBergman spaces of bounded symmetric domains.The sufficient and necessary conditions for a composition operator C"to be bounded add corn pact respectively are given in term of the concept of Carleson measure.Meanwhile,the integral characteristic of n such that Cn is a Schatten p-class operator is obtained.
出处 《Systems Science and Systems Engineering》 CSCD 1996年第1期90-102,共13页 系统科学与系统工程学报(英文版)
关键词 Weighted Bergman space Composition operator Bounded symmetric domain BOUNDEDNESS COMPACTNESS Schatten p-class operator Weighted Bergman space Composition operator Bounded symmetric domain Boundedness Compactness Schatten p-class operator
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