Weighted composition operators between weighted spaces of vector-valued holomorphic functions on Banach spaces

J. S. Manhas

doi:10.1016/j.amc.2011.03.131

Weighted composition operators between weighted spaces of vector-valued holomorphic functions on Banach spaces

J. S. Manhas

Mathematics & Statistics

Research output: Contribution to journal › Article

1 Citation (Scopus)

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 U_X and U_Y be balanced open subsets of Banach spaces X and Y, respectively. Let V and W be two Nachbin families of continuous weights on U_X and U_Y, respectively. Let HV(U_X, E) (or HV₀(U_X, E)) and HW(U_Y, F) (or HW₀(U_Y, F)) be the weighted spaces of vector-valued holomorphic functions. In this paper, we investigate the holomorphic mappings φ: U_Y → U_X and ψ: U_Y → B(E, F) which generate weighted composition operators between these weighted spaces.

Original language	English
Pages (from-to)	929-934
Number of pages	6
Journal	Applied Mathematics and Computation
Volume	218
Issue number	3
DOIs	https://doi.org/10.1016/j.amc.2011.03.131
Publication status	Published - Oct 1 2011

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Keywords

Nachbin families
Vector-valued holomorphic functions
Weighted composition operators
Weighted spaces
Weights

ASJC Scopus subject areas

Applied Mathematics
Computational Mathematics

Cite this

Manhas, J. S. (2011). Weighted composition operators between weighted spaces of vector-valued holomorphic functions on Banach spaces. Applied Mathematics and Computation, 218(3), 929-934. https://doi.org/10.1016/j.amc.2011.03.131

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10.1016/j.amc.2011.03.131