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arXiv · 1502.04721

Characterization of Schatten class Hankel operators on weighted Bergman spaces

Jordi Pau
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Abstract

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

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Jordi Pau. 2015-02-16. Characterization of Schatten class Hankel operators on weighted Bergman spaces. https://doi.org/10.1215/00127094-3627310

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