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Hilbert-Type Operators Acting Between Weighted Fock Spaces

Jin, Jianjun*; Tang, Shuan; Feng, Xiaogao
Science Citation Index Expanded
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摘要

In this paper we introduce and study several new Hilbert-type operators acting between the weighted Fock spaces. We provide some sufficient and necessary conditions for the boundedness and compactness of certain Hilbert-type operators from one weighted Fock space to another.

关键词

Hilbert-type operators Weighted Fock spaces Boundedness of operator Compactness of operator Generalized Carleson measure