Berezin transform and Toeplitz operators on polygonal domains

DOI10.1080/17476933.2021.1978437OpenAlexW3204468187MaRDI QIDQ5862389

Jari Taskinen

Publication date: 9 March 2022

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2021.1978437

zbMATH Keywords

Bergman spaceToeplitz operatorpolygonal domain

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Heat equation (35K05) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Banach spaces of continuous, differentiable or analytic functions (46E15)

Cites Work

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• Density of the polynomials in Bergman spaces
• The dual of a Bergman space on simply connected domains.
• Limit operators, compactness and essential spectra on bounded symmetric domains
• Note on the paper ``Regulated domains and Bergman type projections.
• Toeplitz operators with locally integrable symbols on Bergman spaces of bounded simply connected domains
• Projections sur des Espaces de Fonctions Holomorphes Dans des Domaines Plans
• The Integrability of the Derivative in Conformal Mapping
• Toeplitz operators on Bergman spaces of polygonal domains

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