TY - JOUR
T1 - Weighted composition operators between weighted spaces of vector-valued holomorphic functions on Banach spaces
AU - Manhas, J. S.
N1 - Funding Information:
The research of the author was supported by SQU Grant No. IG/SCI/DOMS/11/01 .
PY - 2011/10/1
Y1 - 2011/10/1
N2 - 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.
AB - 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.
KW - Nachbin families
KW - Vector-valued holomorphic functions
KW - Weighted composition operators
KW - Weighted spaces
KW - Weights
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U2 - 10.1016/j.amc.2011.03.131
DO - 10.1016/j.amc.2011.03.131
M3 - Article
AN - SCOPUS:80052265039
SN - 0096-3003
VL - 218
SP - 929
EP - 934
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
IS - 3
ER -