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多圆柱上Bloch型空间之间的等距复合算子 被引量:1

Isometric Composition Operators on the Bloch Type Space in the Polydisk
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摘要 简单介绍了一些解析函数构成的Banach空间上的满等距的结果,然后刻画了多圆柱上α-Bloch空间复合算子的等距,并得到了复合算子等距的充要条件. We first give a brief survey on some results about surjective isometries on some Banach spaces of analytic functions. Then we characterize the isometries among the composition operators acting on the α-Bloch space in the polydisk, and necessary and sufficient conditions are given for composition operators to be isometric.
出处 《数学学报(中文版)》 SCIE CSCD 北大核心 2012年第2期273-280,共8页 Acta Mathematica Sinica:Chinese Series
基金 国家自然科学基金资助项目(10971153 10671141)
关键词 等距 复合算子 BLOCH型空间 isometric composition operator Bloch type space
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