Zengjian Lou
Abstract
ABSTRACT. Let Bα and Bα0 denote the α−Bloch spaces and little α−Bloch spaces. An analytic map ϕ of the unit disk into itself induces an operator Cϕ on analytic functions by composition. We study the boundedness and compactness of composition operators Cϕ from Bα(Bα0) to B β(Bβ0) for 0 < α, β <∞.
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ABSTRACT. Let Bα and Bα0 denote the α−Bloch spaces and little α−Bloch spaces. An analytic map ϕ of the unit disk into itself induces an operator Cϕ on analytic functions by composition. We study the boundedness and compactness of composition operators Cϕ from Bα(Bα0) to B β(Bβ0) for 0 < α, β <∞.
Key concepts: Bloch space, Unit disk, Mathematics, Composition operator, Space (punctuation), Analytic function, Bloch sphere, Banach space