DIFFERENCES OF DIFFERENTIAL OPERATORS BETWEEN WEIGHTED-TYPE SPACES

Mohammed Said Al Ghafri*, Jasbir Singh Manhas

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Let H((Formula presented)) be the space of analytic functions on the unit disc (Formula presented). Let (Formula presented) and $ $ be such that (Formula presented) The linear differential operator is defined by (Formula presented) We characterize the boundedness and compactness of the difference operator (Formula presented) between weighted-type spaces of analytic functions. As applications, we obtained boundedness and compactness of the difference of multiplication operators between weighted-type and Bloch-type spaces. Also, we give examples of unbounded (non compact) differential operators such that their difference is bounded (compact).

Original languageEnglish
Pages (from-to)465-483
Number of pages19
JournalCommunications of the Korean Mathematical Society
Volume36
Issue number3
DOIs
Publication statusPublished - 2021
Externally publishedYes

Keywords

  • Bloch-type spaces
  • bounded and compact operators
  • Difference operators
  • differential operators
  • multiplication operators
  • weighted-type spaces

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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