BEREZIN RADIUS INEQUALITIES VIA GEOMETRIC CONVEXITY
Palestine Journal of Mathematics, cilt.12, sa.1, ss.240-253, 2023 (Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 12 Sayı: 1
- Basım Tarihi: 2023
- Dergi Adı: Palestine Journal of Mathematics
- Derginin Tarandığı İndeksler: Scopus
- Sayfa Sayıları: ss.240-253
- Anahtar Kelimeler: Berezin radius, Berezin transform, geometrically convex func, reproducing kernel Hilbert space
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
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