Results 11 to 20 of about 257 (144)

Derivatives of the Berezin Transform [PDF]

Journal of Function Spaces and Applications, 2012
For a rotation invariant domain Ω, we consider A2(Ω,μ) the Bergman space and we investigate some properties of the rank one projection A(z):=〈⋅,kz〉kz. We prove that the trace of all the strong derivatives of A(z) is zero. We also focus on the generalized
Hélène Bommier-Hato
doaj   +2 more sources

Lipschitz estimates for the Berezin transform [PDF]

Journal of Function Spaces and Applications, 2010
We consider the generalized Fock space A2(μm), where μm is the measure with weight e−|z|m, m > 0, with respect to the Lebesgue measure on Cn. Improving upon a recent result of L. Coburn and J.
Hélène Bommier-Hato
doaj   +2 more sources

Multiplication Operator with BMO Symbols and Berezin Transform [PDF]

Journal of Function Spaces, 2015
We discuss multiplication operator with a special symbol on the weighted Bergman space of the unit ball. We give the necessary and sufficient conditions for the compactness of multiplication operator on the weighted Bergman space of the unit ball.
Xue Feng, Kan Zhang, Jianguo Dong, Xianmin Liu, Chi Guan   +4 more
doaj   +2 more sources

Enhancing Orange Juice Shelf Life Using Soy Lecithin-Stabilized Lemongrass Essential Oil Nanoemulsions: Formulation, Optimization, and Application. [PDF]

Food Sci Nutr
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.
Nouraddini M, Mohtarami F, Esmaiili M.
europepmc   +2 more sources

Emotion in and through crisis. [PDF]

Br J Sociol
Abstract To the extent that emotions are noticed in consideration of crisis they are typically thought to be negative, linked to the disruptive consequences of crisis. Based on semi‐structured in‐depth interviews the article shows that crisis precipitates not only negative but also positive emotions and that the complex of emotional experiences that ...
Qi X.
europepmc   +2 more sources

The Berezin transform and Laplace–Beltrami operator

Journal of Mathematical Analysis and Applications, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exaly   +2 more sources

Berezin transform of two arguments

Journal of Functional Analysis, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Petr Blaschke
exaly   +2 more sources

Weighted Berezin transform in the polydisc

Journal of Mathematical Analysis and Applications, 2008
The paper under review studies fixed points of the weighted Berezin transform on the polydisk \(\mathbb{D}^n\) for \(n\geq 2\). Many authors have studied this problem for the case \(n=1\) and for different domains in higher dimensions. For \(c>-1\), let \(\nu_c\) be a measure on \(\mathbb{C}\) defined by \(d\nu_c(z)=(c+1)(1-|z|^2)^c\,dA(z)\) so that \(\
exaly   +3 more sources

On convergence of the Berezin transforms [PDF]

Journal of Mathematical Analysis and Applications, 2020
minor changes and corrections. To appear in . Math.
Nihat Gökhan Göğüş, Sönmez Şahutoğlu   +1 more
openaire   +4 more sources

Invertibility and Fredholm Property of Fock Toeplitz Operators

Mathematics, 2023
We characterize some necessary and sufficient conditions of invertible Toeplitz operators acting on the Fock space. In particular, we study the Fredholm properties of Toeplitz operators with BMO1 symbols, where their Berezin transforms are bounded ...
Chunxu Xu, Tao Yu
doaj   +1 more source