数学研究通讯

2015, v.31(03) 281-284

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A Note on Weighted Composition Operators on the Fock Space
A Note on Weighted Composition Operators on the Fock Space

Feng Li-xia;Zhao Lian-kuo;Ji You-qing;

摘要(Abstract):

Based on a new characterization of bounded and compact weighted composition operators on the Fock space obtained by Le T(Le T. Normal and isometric weighted composition operators on the Fock space. Bull. London. Math. Soc., 2014,46: 847–856), this paper shows that a bounded weighted composition operator on the Fock space is a Fredholm operator if and only if it is an invertible operator, and if and only if it is a nonzero constant multiple of a unitary operator. The result is very different from the corresponding results on the Hardy space and the Bergman space.

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基金项目(Foundation): The NSF(11201274 and 11471189) of China

作者(Author): Feng Li-xia;Zhao Lian-kuo;Ji You-qing;

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