A note on the differential operator on weighted fock spaces

ESKİŞEHİRLİ B. B.

Comptes Rendus de L'Academie Bulgare des Sciences, vol.76, no.7, pp.979-989, 2023 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 76 Issue: 7
  • Publication Date: 2023
  • Doi Number: 10.7546/crabs.2023.07.01
  • Journal Name: Comptes Rendus de L'Academie Bulgare des Sciences
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aquatic Science & Fisheries Abstracts (ASFA), BIOSIS, CAB Abstracts, zbMATH
  • Page Numbers: pp.979-989
  • Keywords: Calgebra, differential operator, Fock spaces, operator algebra
  • Istanbul University Affiliated: Yes

Abstract

Thc differential operator Df f' is a canonical example of unbounded operators in many Banach spaces. In this study, wc identify a class of weighted Fock spaces in which thc differential operator is bounded. Then, we obtain some properties of thc differential operator on thcyse in terms of its Calgebraic structure in the one and two-dimensional cases.