2009•Complex Variables and Elliptic EquationsRequires access

Generalized composition operators and Volterra composition operators on Bloch spaces in the unit ball

Xiangling Zhu

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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Key concepts: Unit sphere, Mathematics, Composition operator, Holomorphic function, Bloch space, Compact space, Composition (language), Pure mathematics