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.
- Nachbin families
- Vector-valued holomorphic functions
- Weighted composition operators
- Weighted spaces
ASJC Scopus subject areas
- Applied Mathematics
- Computational Mathematics