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

J. S. Manhas

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 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.

Original languageEnglish
Pages (from-to)929-934
Number of pages6
JournalApplied Mathematics and Computation
Volume218
Issue number3
DOIs
Publication statusPublished - Oct 1 2011

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Weighted Composition Operator
Vector-valued Functions
Banach spaces
Weighted Spaces
Mathematical operators
Analytic function
Banach space
Chemical analysis
Holomorphic Mappings
Set theory
Linear Operator
Subset

Keywords

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

ASJC Scopus subject areas

  • Applied Mathematics
  • Computational Mathematics

Cite this

Weighted composition operators between weighted spaces of vector-valued holomorphic functions on Banach spaces. / Manhas, J. S.

In: Applied Mathematics and Computation, Vol. 218, No. 3, 01.10.2011, p. 929-934.

Research output: Contribution to journal › Article

Manhas, JS 2011, 'Weighted composition operators between weighted spaces of vector-valued holomorphic functions on Banach spaces', Applied Mathematics and Computation, vol. 218, no. 3, pp. 929-934. https://doi.org/10.1016/j.amc.2011.03.131
Manhas JS. Weighted composition operators between weighted spaces of vector-valued holomorphic functions on Banach spaces. Applied Mathematics and Computation. 2011 Oct 1;218(3):929-934. https://doi.org/10.1016/j.amc.2011.03.131
Manhas, J. S. / Weighted composition operators between weighted spaces of vector-valued holomorphic functions on Banach spaces. In: Applied Mathematics and Computation. 2011 ; Vol. 218, No. 3. pp. 929-934.
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