TY - JOUR
T1 - Weighted composition operators and dynamical systems on weighted spaces of holomorphic functions on banach spaces
AU - Manhas, J. S.
PY - 2013
Y1 - 2013
N2 - 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.
AB - 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.
KW - Dynamical system
KW - Multiplication operator
KW - Weight
KW - Weighted composition operator
KW - Weighted frechet space
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U2 - 10.15352/afa/1399899525
DO - 10.15352/afa/1399899525
M3 - Article
AN - SCOPUS:84894551583
SN - 2008-8752
VL - 4
SP - 58
EP - 71
JO - Annals of Functional Analysis
JF - Annals of Functional Analysis
IS - 2
ER -