Invariant subspaces of operators via Berezin symbols and Duhamel product

DOI10.55730/1300-0098.3485MaRDI QIDQ6542404

Mubariz T. Karaev

Publication date: 22 May 2024

Published in: Turkish Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Bergman spaceinvariant subspacereproducing kernel Hilbert spaceBerezin symbolDuhamel product

Mathematics Subject Classification ID

Linear operator inequalities (47A63)

Cites Work

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• On some Bergman shift operators
• Theory of reproducing kernels and applications
• The Bergman kernel and the Green function
• The Duhamel product of analytic functions
• Toeplitz operators and the Berezin transform on \(H^ 2\)
• Commutant and uniqueness of solutions of Duhamel equations
• On some problems for reproducing kernel Hilbert space operators via the Berezin transform
• Some new relations between the Berezin number and the Berezin norm of operators
• The Bergman space as a Banach algebra
• A characteristic operator function for the class of \(n\)-hypercontractions
• Characterizations of Bergman space Toeplitz operators with harmonic symbols
• QUANTIZATION
• On Beurling-type theorems in weighted 𝑙² and Bergman spaces
• The Berezin Symbol and Multipliers of Functional Hilbert Spaces
• COVARIANT AND CONTRAVARIANT SYMBOLS OF OPERATORS
• Theory of Reproducing Kernels
• Some new applications of Berezin symbols

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