NEW INEQUALITIES VIA BEREZIN SYMBOLS AND RELATED QUESTIONS

Tapdigoglu R., Altwaijry N., Garayev M.

KOREAN JOURNAL OF MATHEMATICS, vol.31, no.1, pp.109-120, 2023 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 31 Issue: 1
  • Publication Date: 2023
  • Doi Number: 10.11568/kjm.2023.31.1.109
  • Journal Name: KOREAN JOURNAL OF MATHEMATICS
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.109-120
  • Azerbaijan State University of Economics (UNEC) Affiliated: Yes

Abstract

We study some problems of operator theory by using this bounded function A similar to , including estimates for Berezin numbers of some operators, including truncated Toeplitz operators. We also prove an operator analog of some Young inequality and use it in proving of some inequalities for Berezin number of operators including the inequality ber (AB) < ber (A) ber (B) , for some operators A and B on 74 (1 >=). More-over, we give in terms of the Berezin number a necessary condition for hyponormality of some operators.