Weighted Composition Operators from H∞ to the Bloch Space on the Polydisc

Let Dn be the unit polydisc of ℂn, ϕ(z)=(ϕ1(z),…,ϕn(z)) be a holomorphic self-map of Dn, and ψ(z) a holomorphic function on Dn. Let H(Dn) denote the space of all holomorphic functions with domain Dn, H∞(Dn) the space of all bounded holomorphic functions on Dn, and B(Dn) the Bloch space, that is, B(D...

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Bibliographic Details
Main Authors: Songxiao Li, Stevo Stevic
Format: Article
Language:English
Published: Hindawi Limited 2007-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2007/48478