Weighted composition operators and dynamical systems on weighted spaces of holomorphic functions on banach spaces

J. S. Manhas*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)58-71
Number of pages14
JournalAnnals of Functional Analysis
Volume4
Issue number2
DOIs
Publication statusPublished - 2013
Externally publishedYes

Keywords

  • Dynamical system
  • Multiplication operator
  • Weight
  • Weighted composition operator
  • Weighted frechet space

ASJC Scopus subject areas

  • Analysis
  • Anatomy
  • Algebra and Number Theory

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