A note on the differential operator on weighted fock spaces

ESKİŞEHİRLİ B. B.

Comptes Rendus de L'Academie Bulgare des Sciences, cilt.76, sa.7, ss.979-989, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 76 Sayı: 7
  • Basım Tarihi: 2023
  • Doi Numarası: 10.7546/crabs.2023.07.01
  • Dergi Adı: Comptes Rendus de L'Academie Bulgare des Sciences
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aquatic Science & Fisheries Abstracts (ASFA), BIOSIS, CAB Abstracts, zbMATH
  • Sayfa Sayıları: ss.979-989
  • Anahtar Kelimeler: Calgebra, differential operator, Fock spaces, operator algebra
  • İstanbul Üniversitesi Adresli: Evet

Özet

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.