Abstract

Let H(B) denote the space of all holomorphic functions on the unit ball B of ℂ n . Let ϕ = (ϕ1, …, ϕ n ) be a holomorphic self-map of B and g ∈ H(B). In this article, we consider the following generalized composition operator: and the following Volterra composition operator: The boundedness and compactness of the operators and on Bloch spaces in the unit ball are studied.

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