Aα2上复合算子的Hilbert-Schmidt差分
Hilbert-Schmidt Differences of Composition Operators on Aα2
本文设Aα2为定义在n维复空间单位多圆柱上的加权Bergman空间,l为Bergman空间上有界复合算子的全体并赋予算子范数拓扑,应用复合算子的Hilbert-Schmidt差分研究l的拓扑连通性.
Let Aα2 be the weighted Bergman space on the unit polydisk, and l the space of all bounded composition operators between Bergman spaces endowed with operator norm, we characterize the topological connection of l using Hilbert-Schmidt differences of two composition operator in this paper.
Hilbert-Schmidt算子 / 复合算子 / 加权Bergman空间 / 单位多圆柱 {{custom_keyword}} /
Hilbert-Schmidt operator / composition operator / weighted Bergman space / unit polydisk {{custom_keyword}} /
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国家自然科学基金资助项目(11526116);南阳师范学院校级基金资助项目(ZX2014076)
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