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1 IntroductionLet Ω be the unit ball Bn or the polydisk Dn in Cn, and dA denote the Lebesgue measure on Ω, normalized so that the measure of Ω equals 1. L2a(Ω) is The Bergman space. For z ∈Ω, the Bergman reproducing kernel is a function Kz ∈ L2a(Ω).