Sharp Berezin Lipschitz estimates

DOI10.1090/S0002-9939-06-08569-8zbMath1137.47018MaRDI QIDQ3420099

Lewis A. Coburn

Publication date: 1 February 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Bergman spaceLipschitz estimatesSegal-Bargmann spaceBerezin symbol

Mathematics Subject Classification ID

Bergman spaces of functions in several complex variables (32A36) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (12)

Berezin's operator calculus and higher order Schwarz–Pick lemma ⋮ The Berezin transform and its applications ⋮ Grassmann geometry of zero sets in reproducing kernel Hilbert spaces ⋮ Derivatives of the Berezin transform ⋮ Is the Dirichlet space a quotient of 𝐷𝐴_{𝑛}? ⋮ The Berezin transform and 𝑚th-order Bergman metric ⋮ Heat flow and an algebra of Toeplitz operators ⋮ Directional derivative estimates for Berezin's operator calculus ⋮ Hilbert-Schmidt Hankel operators and Berezin iteration ⋮ Toeplitz operators with uniformly continuous symbols ⋮ Berezin--Toeplitz quantization and composition formulas ⋮ Covariant derivatives of the Berezin transform

Cites Work

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• BMO in the Bergman metric on bounded symmetric domains
• Compact Toeplitz operators via the Berezin transform on bounded symmetric domains
• Toeplitz operators in \(n\)-dimensions
• Toeplitz Operators on the Segal-Bargmann Space
• On a Hilbert space of analytic functions and an associated integral transform part I
• Invariant Distances Related to the Bergman Function
• Harmonic Analysis in Phase Space. (AM-122)
• Compact operators via the Berezin transform
• Heat Flow and Berezin-Toeplitz Estimates
• A Lipschitz estimate for Berezin’s operator calculus
• On the derivatives of the Berezin transform

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