Abstract

AbstractLet φ and g be entire functions on the complex plane . The generalized Volterra‐type operators and induced by φ and g are defined by and where f is an entire function and .In this paper, we characterize the boundedness and compactness of the generalized Volterra‐type operators and acting between the generalized Fock spaces , induced by smooth radial weights ϕ that decay faster than the classical Gaussian ones. In addition, we obtain a upper pointwise estimate for the Bergman kernel for .

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