Research Article Weighted Composition Operators from H to the Bloch Space on the Polydisc

نویسندگان

  • Songxiao Li
  • Stevo Stević
  • Ferhan Merdivenci Atici
چکیده

Let Dn be the unit polydisc of Cn. The class of all holomorphic functions with domain Dn will be denoted by H(Dn). Let φ be a holomorphic self-map of Dn, the composition operator Cφ induced by φ is defined by (Cφ f )(z) = f (φ(z)) for z ∈Dn and f ∈H(Dn). If, in addition, ψ is a holomorphic function defined on Dn, the weighted composition operator ψCφ induced by ψ and φ is defined by ψCφ(z) = ψ(z) f (φ(z)) for z in Dn and f ∈H(Dn). A function f holomorphic in Dn is said to belong to the Bloch space (Dn) if

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تاریخ انتشار 2007