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指数型权Fock空间上的Toeplitz算子与复合算子

, PP. 202-206

Keywords: Fock空间,Carleson测度,Toeplitz算子,复合算子

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Abstract:

给出了指数型权Fock空间上Carleson测度及消失Carleson测度的几个等价刻画.利用Carleson测度及消失Carleson测度的这些等价刻画给出了指数型权Fock空间上复合算子有界及紧的充要条件.研究了指数型权Fock空间上Toeplitz算子,给出了Toeplitz算子属于Schatten类的充要条件.

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