Characterization of Schatten class Hankel operators on weighted Bergman spaces

Published 16 Feb 2015 in math.FA and math.CV | (1502.04721v3)

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

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