Abstract

Let φ(z) = (φ1(z), …, φn(z)) be a holomorphic self‐map of 𝔻n and ψ(z) a holomorphic function on 𝔻n, where 𝔻n is the unit polydiscs of ℂn. Let 0 < α, β < 1, we compute the essential norm of a weighted composition operator ψCφ between α‐Bloch space ℬα(𝔻n) and β‐Bloch space ℬβ(𝔻n).

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