Schatten class Hankel operators on the Bergman space

DOI10.1007/BF01199895zbMath0729.47023MaRDI QIDQ806008

DeChao Zheng

Publication date: 1990

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

zbMATH Keywords

Berezin transformHankel operators on the Bergman spacesSchatten p-class

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Related Items

The Bloch space of \(M\)-harmonic functions on bounded symmetric domains, The effect of boundary geometry on Hankel operators belonging to the trace ideals of Bergman spaces, Trace formula of semicommutators, \(\mathcal M\)-harmonic Besov \(p\)-spaces and Hankel operators in the Bergman space on the ball in \(\mathbb{C}^ n\), Characterizations of certain classes of Hankel operators on the Bergman spaces of the unit disk, \(p\)-summable commutators in Bergman spaces on egg domains

Cites Work

• Function spaces and reproducing kernels on bounded symmetric domains
• Schatten Class Hankel Operators on the Bergman Space of the Unit Ball
• Hankel Operators on Weighted Bergman Spaces
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