Characterization of Schatten class Hankel operators on weighted Bergman spaces
classification
🧮 math.FA
math.CV
keywords
bergmanhankeloperatorsschattenbehaviourcharacterizationcharacterizeclass
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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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