A Lipschitz estimate for Berezin’s operator calculus
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Publication:4819721
DOI10.1090/S0002-9939-04-07476-3zbMath1093.47024MaRDI QIDQ4819721
Publication date: 5 October 2004
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
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 (23)
Berezin's operator calculus and higher order Schwarz–Pick lemma ⋮ On the derivatives of the Berezin transform ⋮ Unnamed Item ⋮ The Berezin transform and its applications ⋮ The Berezin transform and Laplace-Beltrami operator ⋮ Products of Bergman space Toeplitz operators on the polydisk ⋮ \(m\)-Berezin transform and compact operators ⋮ Derivatives of the Berezin transform ⋮ On a class of composition operators on Bergman space ⋮ Sums of Toeplitz products with harmonic symbols ⋮ Toeplitz operators with BMO symbols on the Segal-Bargmann space ⋮ The Berezin transform and 𝑚th-order Bergman metric ⋮ On some problems for operators on the reproducing kernel Hilbert space ⋮ Directional derivative estimates for Berezin's operator calculus ⋮ Heat flow, BMO, and the compactness of Toeplitz operators ⋮ Algebraic properties of Toeplitz operators on the Dirichlet space ⋮ Finite sums of Toeplitz products on the polydisk ⋮ Hilbert-Schmidt Hankel operators and Berezin iteration ⋮ Holomorphic retractions and boundary Berezin transforms ⋮ Covariant derivatives of the Berezin transform ⋮ Berezin transform and Weyl-type unitary operators on the Bergman space ⋮ Sharp Berezin Lipschitz estimates ⋮ Berezin regularity of domains in $\mathbb {C}^n$ and the essential norms of Toeplitz operators
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