Results 21 to 30 of about 189 (132)
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. These inequalities are a refined version of Huban et al.'s inequalities (Huban et al., 2021b; Huban et al., 2022a) and Başaran et al.'s inequalities ...
Hamdullah Başaran, Mehmet Gurdal
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Some results related with Berezin symbols and Toeplitz operators [PDF]
Mathematical Inequalities & Applications, 2014 We investigate some problems related with Berezin symbols of operators on Hardy and Bergman spaces and their applications in summability theory and in solution of Beurling problem. We also study boundedness and invertibility of some Toeplitz products on the Hardy and Bergman spaces.
KARAEV, Mubariz T. +2 more
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Berezin-Toeplitz Quantization for Compact Kähler Manifolds. A Review of Results
Advances in Mathematical Physics, 2010 This article is a review on Berezin-Toeplitz operator and Berezin-Toeplitz deformation quantization for compact quantizable Kähler manifolds. The basic objects, concepts, and results are given.
Martin Schlichenmaier
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On the weak limit of compact operators on the reproducing kernel Hilbert space and related questions
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 By applying the so-called Berezin symbols method we prove a Gohberg- Krein type theorem on the weak limit of compact operators on the non- standard reproducing kernel Hilbert space which essentially improves the similar results of Karaev [5]: We also in ...
Saltan Suna
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A Characterization of Some Function Classes
Journal of Function Spaces and Applications, 2012 We give in terms of Berezin symbols a characterization of Hardy and Besov classes with a variable exponent.
M. T. Karaev
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On the closed range problem for composition operators on the Dirichlet space
Concrete Operators, 2019 We characterize closed range composition operators on the Dirichlet space for a particular class of composition symbols. The characterization relies on a result about Fredholm Toeplitz operators with BMO1 symbols, and with Berezin transforms of vanishing
Zorboska Nina
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Toeplitz Operators with Essentially Radial Symbols
International Journal of Mathematics and Mathematical Sciences, 2012 For Topelitz operators with radial symbols on the disk, there are important results that characterize boundedness, compactness, and its relation to the Berezin transform.
Roberto C. Raimondo
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Boundary behavior of Berezin symbols and related results
Filomat, 2019 For a given function ? ? H? with |?(z)| < 1 (z ? D), we associate some special operators subspace and study some properties of these operators including behavior of their Berezin symbols. It turns that such boundary behavior is closely related to the Blaschke condition of sequences in the unit disk D of the complex plane.
YAMANCI, Ulaş +3 more
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Compact Operators on the Bergman Spaces with Variable Exponents on the Unit Disc of C
International Journal of Mathematics and Mathematical Sciences, 2018 We study the compactness of some classes of bounded operators on the Bergman space with variable exponent. We show that via extrapolation, some results on boundedness of the Toeplitz operators with general L1 symbols and compactness of bounded operators ...
Dieudonne Agbor
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The Berezin Symbol and Multipliers of Functional Hilbert Spaces [PDF]
Proceedings of the American Mathematical Society, 1995 Summary: This paper focuses on a multiplicative property of the Berezin symbol \(\widetilde A\), of a given linear map \(A: {\mathcal H}\mapsto {\mathcal H}\), where \(\mathcal H\) is a functional Hilbert space of analytic functions. We show \(\widetilde{AB}= \widetilde A\widetilde B\) for all \(B\) in \({\mathcal B}({\mathcal H})\) if and only if \(A\)
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