Weighted Composition Operators between different Bloch-type Spaces in Polydisk

dc.creatorZhou, Zehua
dc.date2005-03-27
dc.date2005-05-06
dc.date.accessioned2026-07-07T05:18:32Z
dc.date.available2026-07-07T05:18:32Z
dc.descriptionLet $ϕ(z)=(ϕ_1(z), ...,ϕ_n(z))$ be a holomorphic self-map of $U^n$ and $ψ(z)$ a holomorphic function on $U^n,$ where $U^n$ is the unit polydisk of ${\Bbb C}^n.$ Let $p\geq 0,$ $q\geq 0$, this paper gives some necessary and sufficient conditions for the weighted composition operator $W_{ψ,ϕ}$ induced by $ψ$ and $ϕ$ to be bounded and compact between $p$-Bloch space ${\cal B}^p(U^n)$ and $q$-Bloch space ${\cal B}^q(U^n).$
dc.description27 Pages
dc.identifierhttps://arxiv.org/abs/math/0503622
dc.identifierhttp://arxiv.org/abs/math/0503622
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74690
dc.subjectComplex Variables
dc.subject47B38, 47B33, 32A37, 32A30
dc.titleWeighted Composition Operators between different Bloch-type Spaces in Polydisk
dc.typetext

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