Results 1 to 10 of about 187 (131)
Skew-symmetric and essentially unitary operators via Berezin symbols [PDF]
Open Mathematics, 2020 We characterize skew-symmetric operators on a reproducing kernel Hilbert space in terms of their Berezin symbols. The solution of some operator equations with skew-symmetric operators is studied in terms of Berezin symbols.
Altwaijry Najla +3 more
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Toeplitz operators with BMO symbols and the Berezin transform [PDF]
International Journal of Mathematics and Mathematical Sciences, 2003 We prove that the boundedness and compactness of the Toeplitz operator on the Bergman space with a BMO1 symbol is completely determined by the boundary behaviour of its Berezin transform. This result extends the known results in the cases when the symbol
Nina Zorboska
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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 +4 more
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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
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Some applications of Berezin θ-sequences and Berezin symbols
Filomat, 2021 We consider the so-called Berezin ?-sequence, where ? is an operator valued inner function, for operators on the vector valued Hardy space H2E (D), and study the invertibility of some operators on the model space K? = H2E ? ?H2E via Berezin ?-sequence. By applying of Berezin symbols technique the Toeplitz corona problem in the Bergman space
N. Altwaijry, M. Garayev, A. Baazeem
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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. 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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Berezin Symbols on Lie Groups [PDF]
, 2018 In this paper we present a general framework for Berezin covariant symbols, and we discuss a few basic properties of the corresponding symbol map, with emphasis on its injectivity in connection with some problems in representation theory of nilpotent Lie groups.
Beltita, Ingrid +2 more
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Berezin Symbols and Spectral Measures of Representation Operators [PDF]
Complex Analysis and Operator Theory, 2021 Let $G$ be a Lie group with Lie algebra $\mathfrak g$ and let $ $ be a unitary representation of $G$ realized on a reproducing kernel Hilbert space. We use Berezin quantization to study spectral measures associated with operators $-id (X)$ for $X\in {\mathfrak g}$. As an application, we show how results about contractions of Lie group representations
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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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