The Berezin transform and Laplace-Beltrami operator

DOI10.1016/j.jmaa.2006.04.068zbMath1106.32003OpenAlexW2003367941MaRDI QIDQ860652

Bo Li

Publication date: 9 January 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.04.068

zbMATH Keywords

Bergman spaceLaplace-Beltrami operatorBerezin transform

Mathematics Subject Classification ID

Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Bergman spaces of functions in several complex variables (32A36) Kernel operators (47B34)

Related Items

Berezin's operator calculus and higher order Schwarz–Pick lemma ⋮ The Berezin transform and its applications ⋮ Unitarising measures for the representations of affine group and associated invariant operators ⋮ The Berezin transform and 𝑚th-order Bergman metric ⋮ Directional derivative estimates for Berezin's operator calculus

Cites Work

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• Commuting Toeplitz operators with harmonic symbols
• Toeplitz Operators on the Segal-Bargmann Space
• Function Theory on Cartan Domains and the Berezin-Toeplitz Symbol Calculus
• A Lipschitz estimate for Berezin’s operator calculus
• On the derivatives of the Berezin transform