BEREZIN RADIUS INEQUALITIES VIA GEOMETRIC CONVEXITY
Palestine Journal of Mathematics, vol.12, no.1, pp.240-253, 2023 (Scopus)
- Publication Type: Article / Article
- Volume: 12 Issue: 1
- Publication Date: 2023
- Journal Name: Palestine Journal of Mathematics
- Journal Indexes: Scopus
- Page Numbers: pp.240-253
- Keywords: Berezin radius, Berezin transform, geometrically convex func, reproducing kernel Hilbert space
- Süleyman Demirel University Affiliated: Yes
Abstract
For a bounded linear operator A on a reproducing kernel Hilbert space H (Ω), with normalized reproducing kernel̂(formula presented)the Berezin transform, Berezin radius and H 〈 Berezin norm are defined respectively (formula presented). A straightforward comparison between these characteristics yields the inequalities ber (formula presented) . In this paper, we prove further inequalities relating them, and give some applications of geometrically convex functions to Berezin radius inequalities. H