Results 11 to 20 of about 316,005 (140)
BEREZIN NORM AND BEREZIN RADIUS INEQUALITIES OF PRODUCTS AND SUMS WITH SELBERG OPERATOR
Proceedings of the Institute of Mathematics and Mechanics, National Academy of Sciences of AzerbaijanSummary: We prove new inequalities related to the Berezin norm and Berezin radius of some products and sums with the Selberg operator on a reproducing kernel Hilbert space.
Garayev, Mubariz +2 more
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New Inequalities and an Integral Expression for the 𝒜-Berezin Number
Journal of MathematicsThis work examines a reproducing kernel Hilbert space XF,·,· constructed on a nonempty set F. Our investigation focuses on the A-Berezin number and the A-Berezin norm, where A denotes a positive bounded linear operator acting on XF.
Salma Aljawi +3 more
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Participation Beyond Compliance: Who Tried to Influence Other People's Vaccination Behaviour During the COVID-19 Crisis? [PDF]
Sociol Health IllnABSTRACT In this paper, we call for more attention to be paid to what we call ordinary contributions to public health policies: the propensity of ordinary citizens to actively influence others to follow or reject a health policy. Shifting the focus from personal compliance to active participation (i.e., ordinary contribution) raises distinct questions ...
Touzet H, Giry B, Ward JK.
europepmc +2 more sources
Identification of EppR, a Second Repressor of Error-Prone DNA Polymerase Genes in Acinetobacter baumannii. [PDF]
Mol MicrobiolA 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
Nguyen B +6 more
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A Generalized Norm on Reproducing Kernel Hilbert Spaces and Its Applications
Axioms, 2023 The aim of this article was to provide improved estimates for the (α,β)-norm of a bounded linear operator. In particular, our results enabled the determination of new upper bounds involving both the Berezin number and the Berezin norm of bounded linear ...
Najla Altwaijry +2 more
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More Correct Berezin Symbol Inequalities
Dera Natung Government College Research Journal, 2023 The purpose of this research is to show bounds for some Berezin number inequalities in an innovative approach. Some inequalities have been proven using the improvement of the Hermite-Hadamard inequality.
Hamdullah Başaran, Mehmet Gurdal
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A characterization of operators via Berezin symbol and related questions
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 In this paper, we characterize the hyponormal operators with regard to Berezin symbol and reproducing kernel. Also, we demonstrate several Berezin number inequalities for bounded linear operators.
Yamancı Ulaş
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On the $p$-norm of the Berezin transform
Illinois Journal of Mathematics, 2012 Let \(\nu_n\) denote the normalized Lebesgue measure on the unit ball \(B_n\) of \(\mathbb{C}^n\), \(n\geq 1\). Given \(f\in L^1(B_n, \nu_n)\), the Berezin transform \(\mathcal{B}f\) is defined by the formula \[ \mathcal{B} f(z)= (1-|z|^2)^{n+1} \int_{B_n} \frac{f(w)\, d\nu_n(w)}{|1-\langle z, w \rangle|^{2(n+1)}}, \quad z\in B_n.
Liu, Congwen, Zhou, Lifang
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Berezin regularity of domains in $\mathbb {C}^n$ and the essential norms of Toeplitz operators
Transactions of the American Mathematical Society, 2021 Fixed few typos. Minor changes. To appear in Trans. Amer.
Čučković, Željko +1 more
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Convolutions for Berezin quantization and Berezin-Lieb inequalities [PDF]
, 2018 Concepts and results from quantum harmonic analysis, such as the convolution between functions and operators or between two operators, are identified as the appropriate setting for Berezin quantization and Berezin-Lieb inequalities. Based on this insight,
Luef, Franz, Skrettingland, Eirik
core +2 more sources