Toeplitz operators and Hankel operators

DOI10.1007/BF01195117zbMath0692.47031OpenAlexW2040759776MaRDI QIDQ5893814

DeChao Zheng

Publication date: 1989

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01195117

zbMATH Keywords

Bergman spaceToeplitz operatorsHankel operatorsanalytic on the parts

Mathematics Subject Classification ID

Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15)

Related Items

Hankel operators on standard Bergman spaces, Linear operators on Fock spaces, Toeplitz and Hankel Operators on Bergman Spaces, Positive Toeplitz operators on weighted Bergman spaces of a minimal bounded homogeneous domain, A reproducing kernel thesis for operators on Bergman-type function spaces, Essential norm of Toeplitz operators and Hankel operators on the weighted Bergman space, Unnamed Item, Essential norm estimates for little Hankel operators with anti holomorphic symbols on the weighted Bergman space of the unit disk, Essential norm estimates for little Hankel operators on weighted Bergman spaces of the unit ball, Toeplitz products on Bergman-Sobolev spaces over the unit polydisk, Hankel and Toeplitz operators on Dirichlet spaces, Algebras on the unit disk and Toeplitz operators on the Bergman space, Compact Hankel operators on generalized Bergman spaces of the polydisc, The essential norm of operators on \(\ell^2\)-valued Bergman-type function spaces, Compactness of Hankel operators and analytic discs in the boundary of pseudoconvex domains, Analytic functions of bounded mean oscillation and the Bloch space

Cites Work

• The Bergman space, the Bloch space, and commutators of multiplication operators
• BMO in the Bergman metric on bounded symmetric domains
• Bounded analytic functions and Gleason parts
• Algebras on the Disk and Doubly Commuting Multiplication Operators
• Function Theory on Cartan Domains and the Berezin-Toeplitz Symbol Calculus
• Products of Toeplitz operators
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