Characterization of Schatten class Hankel operators on weighted Bergman spaces

Author

Pau, Jordi

Publication date

2016-09-26T09:05:48Z

2016-09-26T09:05:48Z

2016-06-23

2016-09-26T09:05:54Z

Abstract

We completely characterize the simultaneous membership in the Schatten ideals $S_{p,} 0 < p < \infty$ of the Hankel operators $H_{f}$ and $H_{\overline{f}}$ on the Bergman space, in terms of the behavior of a local mean oscillation function, proving a conjecture of Kehe Zhu from 1991.

Document Type

Article


Published version

Language

English

Publisher

Duke University Press

Related items

Reproducció del document publicat a: http://dx.doi.org/10.1215/00127094-3627310

Duke Mathematical Journal, 2016

http://dx.doi.org/10.1215/00127094-3627310

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(c) Duke University Press, 2016

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