Some New Inequalities via Berezin Numbers
نویسندگان
چکیده
The Berezin transform $\widetilde{T}$ and the radius of an operator
 $T$ on reproducing kernel Hilbert space $\mathcal{H}\left( Q\right) $
 over some set $Q$ with $K_{\eta}$ are defined,
 respectively, by
 \[
 \widetilde{T}(\eta)=\left\langle {T\frac{K_{\eta}}{{\left\Vert K_{\eta
 }\right\Vert }},\frac{K_{\eta}}{{\left\Vert K_{\eta}\right\Vert }}%
 }\right\rangle ,\ \eta\in Q\text{ }\mathrm{ber}(T):=\sup_{\eta\in
 Q}\left\vert \widetilde{T}{(\eta)}\right\vert .
 \]
 We study several sharp inequalities by using this bounded function
 $\widetilde{T},$ involving powers norms
 operators. also give inequalities
 regarding transforms sum two
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ژورنال
عنوان ژورنال: Turkish journal of mathematics & computer science
سال: 2022
ISSN: ['2148-1830']
DOI: https://doi.org/10.47000/tjmcs.1014841