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Published version

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2016-06-23

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/102130

Characterization of Schatten class Hankel operators on weighted Bergman spaces

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

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.

Subject

Teoria d'operadors, Operadors lineals, Funcions de variables complexes, Funcions de diverses variables complexes

Subject (English)

Operator theory, Linear operators, Functions of complex variables, Functions of several complex variables

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Articles publicats en revistes (Matemàtiques i Informàtica)

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PAU, Jordi. Characterization of Schatten class Hankel operators on weighted Bergman spaces. Duke Mathematical Journal. 2016. ISSN 0012-7094. [consulted: 16 of August of 2026]. Available at: https://hdl.handle.net/2445/102130

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