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

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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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Keywords

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

ASJC Scopus subject areas

  • Applied Mathematics
  • Computational Mathematics

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