Hilbert-Type Operators Acting Between Weighted Fock Spaces

Authors：Jin, Jianjun^*; Tang, Shuan; Feng, Xiaogao

Source：Complex Analysis and Operator Theory, 2022, 16(7): 103.

DOI：10.1007/s11785-022-01284-x

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

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.