Let BX and BY be the open unit balls of the Banach Spaces X and Y , respectively. Let V and W be two countable families of weights on BX and BY , respectively. Let HV (BX) (or HV0 (BX)) and HW (BY) (or HW0 (BY)) be the weighted Fréchet spaces of holomorphic functions. In this paper, we investigate the holomorphic mappings φ : BX → BY and Ψ: BX → C which characterize continuous weighted composition operators between the spaces HV (BX) (or HV0 (BX)) and HW (BY) (or HW0 (BY)) : Also, we obtained a (linear) dynamical system induced by multiplication operators on these weighted spaces.
|Number of pages||14|
|Journal||Annals of Functional Analysis|
|Publication status||Published - 2013|
- Dynamical system
- Multiplication operator.
- Weighted composition operator
- Weighted frechet space
ASJC Scopus subject areas
- Control and Optimization