Results 1 to 10 of about 170 (114)
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.
Najla Altwaijry +2 more
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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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Berezin Symbols and Spectral Measures of Representation Operators [PDF]
Complex Analysis and Operator Theory, 2021 Some typos ...
Benjamin Cahen
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Berezin Symbols on Lie Groups [PDF]
Trends in Mathematics, 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.
Benjamin Cahen +2 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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Some results related with statistical convergence and Berezin symbols
Journal of Mathematical Analysis and Applications, 2004 A functional Hilbert space is a Hilbert space \(\mathcal{H}\) of complex-valued functions on some set \(\Omega\) such that the evaluation functional \(f \to f(\lambda)\) is continuous for each \(\lambda \in \Omega\). Moreover, for each \(\lambda \in \Omega\) there exists a unique function \(k_{\lambda} \in \mathcal{H}\) such that \(f(\lambda) = (f, k_{\
Serpil Pehlivan
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Reproducing Kernels and Berezin Symbols Techniques in Various Questions of Operator Theory
Complex Analysis and Operator Theory, 2012 Given a functional Hilbert space, the author of the paper under review studies various problems with the help of the corresponding Berezin transform. The notions of Berezin number and Berezin set are introduced. The techniques are applied to the study of invariant subspaces and a uniqueness theorem related to the distance function is obtained.
M T Karaev
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On some problems related to Berezin symbols
Comptes Rendus Mathematique, 2005 The following problem was formulated by Zorboska [Proc. Amer. Math. Soc. 131 (2003) 793–800]: It is not known if the Berezin symbols of a bounded operator on the Bergman space L a 2
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Berezin symbols and some problems on the Dirichlet space
Indian Journal of Pure and Applied MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ulas Yamancı
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Description of invariant subspaces in terms of Berezin symbols
Turkish Journal of Mathematics, 2018 Summary: We consider the stretching operator \( T_{w}f) (z) =f(wz)\) and the multiple shift operator \(S^{n}f=z^{n}f\) on the Hardy spaces \( H^{p}(\mathbb{D})\) (\( 1\leq ...
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