Results 31 to 40 of about 83 (64)
Description of Bloch spaces, weighted Bergman spaces and invariant subspaces, and related questions
Kuwait Journal of Science, 2016 Let D be the unit disc of complex plane C, and H=Hol(D) the class of functions analytic in D. Recall that an f∈Hol(D) is said to belong to the Bloch space B=B(D) if ‖f‖_{B}:=sup_{z∈D}(1-|z|²)|f′(z)|
Mübariz T. Garayev +2 more
doaj
Inequalities involving Berezin norm and Berezin number of Hilbert space operators
Journal of Mathematical InequalitiesSummary: This paper presents several Berezin number and norm inequalities for Hilbert space operators. These inequalities improve some earlier related inequalities. Among other inequalities, it is shown that if \(A\) is a bounded linear operator on a Hilbert space, then \[ \mathbf{ber}^2(A) \leqslant \left\|\frac{A^\ast A + AA^\ast}{2} - \frac{1}{2R ...
Nikzat, Elham, Omidvar, Mohsen Erfanian
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Endocrinology, Diabetes &Metabolism, Volume 8, Issue 5, September 2025.Machine learning models demonstrate high diagnostic accuracy for predicting heart failure in patients with type 2 diabetes, outperforming traditional risk models. Their ability to integrate diverse clinical data highlights their potential for early detection and risk stratification in clinical practice.
Pooya Eini +3 more
wiley +1 more source
Geophysical Research Letters, Volume 52, Issue 16, 28 August 2025.Abstract Satellite‐based estimates of fossil fuel carbon dioxide (FFCO2) emissions are crucial for global stocktaking but are limited by sparse coverage. As nitrogen dioxide (NO2) observations can enhance CO2 emission estimates, we use NO2 observations from twin polar‐orbiting satellites (GaoFen‐5B and DaQi‐1) to constrain carbon emission estimates ...
Tianyi Xu, Chengxin Zhang, Cheng Liu
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On the convexity of Berezin range and Berezin radius inequalities via a class of seminorms
Bulletin des Sciences MathématiquesThis paper introduces a new family of semi-norms, say $σ_μ$-Berezin norm on the space of all bounded linear operators $B(\mathcal{H})$ defined on a reproducing kernel Hilbert space $\mathcal{H}$, namely, for each $μ\in [0,1]$ and $p\geq 1$, $$\|T\|_{σ_μ\text{-ber}}= \sup_{λ\inΩ}\left\lbrace \left(|\langle T\hat{k}_λ,\hat{k}_λ\rangle |^p~ σ_μ~ \|T\hat{k}
Athul Augustine +3 more
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Molecular Microbiology, Volume 124, Issue 1, Page 20-39, July 2025.A novel TetR‐like regulator (EppR) has been identified to repress genes encoding DNA polymerase V in Acinetobacter baumannii through the direct binding of a conserved EppR motif in their promoters. EppR works with previously identified regulator UmuDAb to serve as co‐regulators of these genes. In response to DNA damage and/or environmental stress, both
Brian Nguyen +6 more
wiley +1 more source
Food Science &Nutrition, Volume 13, Issue 6, June 2025.In this study, lemongrass essential oil (LGEO) nanoemulsions were successfully developed using soy lecithin and ultrasonication, optimizing stability and bioactivity. Grape seed oil (GSO) and Tween 80 were then integrated to enhance the nanoemulsion properties, achieving a balance between encapsulation efficiency and particle size.
Mahsa Nouraddini +2 more
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An exotic calculus of Berezin–Toeplitz operators
Mathematika, Volume 71, Issue 2, April 2025.Abstract We develop a calculus of Berezin–Toeplitz operators quantizing exotic classes of smooth functions on compact Kähler manifolds and acting on holomorphic sections of powers of positive line bundles. These functions (classical observables) are exotic in the sense that their derivatives are allowed to grow in ways controlled by local geometry and ...
Izak Oltman
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Exploring the role of beta‐endorphin in activity‐based anorexia in mice
Physiological Reports, Volume 13, Issue 3, February 2025.Abstract Anorexia nervosa (AN) remains one of the most lethal mental health disorders and is poorly understood from a neurobiological perspective. The most widely used animal model of AN is activity‐based anorexia (ABA) where scheduled food presentation leads to a spontaneous maladaptive increase in running‐wheel activity and rapid weight loss in ...
Connor W. Christensen +3 more
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On the norm of the weighted Berezin transform
, 2017 We consider a weighted Berezin transform: $$ B_α : L^{\infty} (\mathbb{B}^n) \to \ \mathcal{B},\quad α>-1,$$ defined, for $f \in L^{\infty} \left( \mathbb{B}^n \right)$ and $z \in \mathbb{B}^n$, by $$(B_αf) (z) = c_α\int_{\mathbb{B}^n} \frac{\left( 1-|z|^2 \right)^{n+1}}{|1 - \langle z, w \rangle|^{2n+2}} f(w) \left( 1-|w|^2 \right)^α\ d v(w ...
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