Products of weighted composition operators and differentiation operators between Banach spaces of analytic functions

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4 Citations (Scopus)

Abstract

We characterize boundedness and compactness of products of differentiation operators and weighted composition operators between weighted Banach spaces of analytic functions with general weights. As applications, we also characterize bounded and compact weighted composition operators between weighted Banach space of analytic functions and Bloch-type spaces.

Original languageEnglish
Pages (from-to)665-679
Number of pages15
JournalActa Scientiarum Mathematicarum
Volume80
Issue number3-4
DOIs
Publication statusPublished - 2014

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Weighted Composition Operator
Space of Analytic Functions
Banach spaces
Mathematical operators
Banach space
Bloch-type Space
Operator
Chemical analysis
Compactness
Boundedness

Keywords

  • Bloch-type spaces
  • Differentiation operators
  • Weighted Banach space of analytic functions
  • Weighted composition operators

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

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title = "Products of weighted composition operators and differentiation operators between Banach spaces of analytic functions",
abstract = "We characterize boundedness and compactness of products of differentiation operators and weighted composition operators between weighted Banach spaces of analytic functions with general weights. As applications, we also characterize bounded and compact weighted composition operators between weighted Banach space of analytic functions and Bloch-type spaces.",
keywords = "Bloch-type spaces, Differentiation operators, Weighted Banach space of analytic functions, Weighted composition operators",
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AU - Zhao, Ruhan

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KW - Differentiation operators

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KW - Weighted composition operators

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