Article ID Journal Published Year Pages File Type
4630655 Applied Mathematics and Computation 2011 6 Pages PDF
Abstract
Let B(E, F) be the Banach Space of all continuous linear operators from a Banach Space E into a Banach space F. Let UX and UY be balanced open subsets of Banach spaces X and Y, respectively. Let V and W be two Nachbin families of continuous weights on UX and UY, respectively. Let HV(UX, E) (or HV0(UX, E)) and HW(UY, F) (or HW0(UY, F)) be the weighted spaces of vector-valued holomorphic functions. In this paper, we investigate the holomorphic mappings ϕ : UY → UX and ψ : UY → B(E, F) which generate weighted composition operators between these weighted spaces.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
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