Holomorphic retractions and boundary Berezin transforms

DOI10.5802/aif.2444zbMath1176.47026OpenAlexW75525510MaRDI QIDQ1013027

Jonathan Arazy, Miroslav Engliš, Wilhelm Kaup

Publication date: 29 April 2009

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2009__59_2_641_0

zbMATH Keywords

convolution operatorBerezin transformCartan domain

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Linear operators on function spaces (general) (47B38) Differential geometry of symmetric spaces (53C35) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Idempotents, Peirce decompositions (17C27)

Related Items (1)

Toeplitz operators on Jordan-Kepler varieties

Cites Work

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• Boundary structure of bounded symmetric domains
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• Function Theory on Cartan Domains and the Berezin-Toeplitz Symbol Calculus
• Asymptotic expansions of Berezin transforms
• A Lipschitz estimate for Berezin’s operator calculus
• Maximale Holomorphe und Meromorphe Abbildungen, I
• Jordan triple systems, 𝑅-spaces, and bounded symmetric domains
• Iterates and the boundary behavior of the Berezin transform

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