Bergman Kernel Estimates for Generalized Fock Spaces

Abstract

Abstract. We will prove size estimates of the Bergman kernel for the generalized Fock space F 2 ϕ , where ϕ belongs to the class W. The main tool for the proof is to use the estimate on the canonical solution to thē ∂-equation. We use Delin's weighted L 2 -estimate ([3], [6]) for it.