Show simple item record

Isometric weighted composition operators on weighted Banach spaces of holomorphic functions defined on the unit ball of a complex Banach space

dc.creatorWolf, Elke
dc.date2013-06-01
dc.identifierhttps://revistas.ufro.cl/ojs/index.php/cubo/article/view/1308
dc.identifier10.4067/S0719-06462013000200004
dc.descriptionLet X and Y be complex Banach spaces and BX resp. BY the closed unit ball. Analytic maps φ : BY → BX and ψ : BX → C induce the weighted composition operator: Cφ,ψ : H(BY) → H(BX),  f → ψ(f ◦ φ), where H(BY) resp. H(BX) denotes the collection of all analytic functions f : BX(resp.BY) → C. We study when such operators acting between weighted spaces of analytic functions are isometric.en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad de La Frontera. Temuco, Chile.en-US
dc.relationhttps://revistas.ufro.cl/ojs/index.php/cubo/article/view/1308/1163
dc.sourceCUBO, A Mathematical Journal; Vol. 15 No. 2 (2013): CUBO, A Mathematical Journal; 43–52en-US
dc.sourceCUBO, A Mathematical Journal; Vol. 15 Núm. 2 (2013): CUBO, A Mathematical Journal; 43–52es-ES
dc.source0719-0646
dc.source0716-7776
dc.subjectweighted composition operatorsen-US
dc.subjectweighted spaces of holomorphic functions on the unit ball of a complex Banach spaceen-US
dc.titleIsometric weighted composition operators on weighted Banach spaces of holomorphic functions defined on the unit ball of a complex Banach spaceen-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion


This item appears in the following Collection(s)

Show simple item record