Hankel operators in the Bergman space and Schatten $p$-classes: The case $1<p<2$

DOI10.1090/S0002-9939-01-06217-7zbMath0992.47011MaRDI QIDQ2750851

Jingbo Xia

Publication date: 21 October 2001

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

zbMATH Keywords

Bergman spaceHankel operatorsSchatten classmean oscillation

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) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items

Hilbert-Schmidt Hankel operators on the Segal-Bargmann space ⋮ Hankel operators on standard Bergman spaces ⋮ Schatten class Hankel operators on exponential Bergman spaces ⋮ Schatten class Hankel operators on weighted Bergman spaces induced by regular weights

Cites Work

• Unnamed Item
• Characterizations of certain classes of Hankel operators on the Bergman spaces of the unit disk
• Hilbert-Schmidt Hankel Operators on the Bergman Space
• Schatten Class Hankel Operators on the Bergman Space of the Unit Ball
• Hankel Operators on Weighted Bergman Spaces