Norms of some operators on bounded symmetric domains

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摘要

Let D be a bounded symmetric domain, H(D) the class of all holomorphic functions on D and u∈H(D). Operator norm of the multiplication operator on the weighted Bergman space Aαp(D), as well as of weighted composition operator from Aαp(D) to a weighted-type space are calculated.

论文关键词:Multiplication operator,Weighted composition operator,Weighted Bergman space,Operator norm,Bounded symmetric domain

论文评审过程:Available online 25 January 2010.

论文官网地址:https://doi.org/10.1016/j.amc.2010.01.030