Page
24-34
Abstract
We prove upper bounds for Berezin symbols and Berezin numbers of operators, with a special emphasis on the quadratic weighted operator geometric mean. In particular, we prove some upper bounds for Berezin symbols and Berezin numbers of some self-adjoint operators on reproducing kernel Hilbert spaces over some suitable sets. Moreover, we estimate the best possible constant in some generalized Hardy-Hilbert inequality for the series.
Recommended Citation
College of Science, King Saud University, Riyadh, Saudi Arabia; Garayev, Mubariz; Guediri, Hocine; and S.N. Alshormani, Farouq
(2024)
"Upper bounds for Berezin numbers of self-adjoint operators and applications,"
Baku Mathematical Journal: Vol. 3:
Iss.
1, Article 3.
DOI: 10.32010/j.bmj.2024.03
Available at:
https://www.bakumathj.org/home/vol3/iss1/3