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Hankel operators on the Bergman space of the unit ball
Authors:Maria Nowak
Affiliation:Instytut Matematyki UMCS , pl. Marii Curie-Sklodowskiej 1,20-031 Lublin, Poland
Abstract:We characterize the bounded holomorphic functions $ f, g $ in the unit ball of $ mathbb{C}^{n} $ for which the operator $ H^{*}_{bar g} H_{bar f} $ is compact. For $ n=1 $ the result was obtained by Axler and Gorkin in 1988 and by Zheng in 1989.

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