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Toeplitz and Hankel type operators on Bergman space

Part of: Special classes of linear operators

Published online by Cambridge University Press:  26 February 2010

Lizhong Peng
Lizhong Peng
Affiliation:
Institute of Mathematics, Peking University100871 Beijing, P. R. China.
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Abstract

The analytic paracommutators in the periodic case have been studied. Their boundedness, compactness, the Schatten-von Neumann properties and the cut-off phenomena have been proved. These results have been applied to some kind of operators on the Bergman spaces that have cut-off at any p∈(0, ∞).

MSC classification

Secondary: 47B35: Toeplitz operators, Hankel operators, Wiener-Hopf operators
Type
Research Article
Information
Mathematika , Volume 40 , Issue 2 , December 1993 , pp. 345 - 356
Copyright
Copyright © University College London 1993

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