Essential norm of weighted composition operator between α -Bloch space and β -Bloch space in polydiscs

Li Songxiao and Zhu Xiangling

International Journal of Mathematics and Mathematical Sciences, 2004, vol. 2004, 1-10

Abstract:

Let φ ( z ) = ( φ 1 ( z ) , … , φ n ( z ) ) be a holomorphic self-map of 𝔻 n and ψ ( z ) a holomorphic function on 𝔻 n , where 𝔻 n is the unit polydiscs of â„‚ n . Let 0 < α , β < 1 , we compute the essential norm of a weighted composition operator ψ C φ between α -Bloch space ℬ α ( 𝔻 n ) and β -Bloch space ℬ β ( 𝔻 n ) .

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:470832

DOI: 10.1155/S0161171204403548

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