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

By Songxiao Li, S. Stević. 2007

89 citations recorded by the source corpus.

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(Dn)={f∈H(Dn)|‖f‖B=|f(0)|

Subfields: Algebra and Number Theory, Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/5d72c7bfcbeb7a2d4075c5a4daf7e3b93db700b5

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Citations in the corpus

• Weighted Composition Operators from H∞ to the Bloch Space of a Bounded Homogeneous Domain (2010, methodology): “In particular, for D = D, we obtained a characterization of boundedness equivalent to the following result proved by Li and Stević in [15].”