A Hankel matrix acting on Fock spaces
Journal of Nonlinear and Variational Analysis · 2023
Let ν be a positive Borel measure on the interval [0, ∞).Let H ν = (ν n,k ) n,k≥0 be the Hankel matrix with entries ν n,k = [0,∞)In this paper, we investigate those positive Borel measures such that H ν ( f )(z) = [0,∞) f (t)e tz dν(t), z ∈ C for all f ∈ F p , and among them we characterize those for which H ν is a bounded (resp., compact) operator from the Fock space F p into the space F q (0 < p, q < ∞).