Hankel operators on the Bergman space of the unit ball

Nowak, Maria

doi:10.1090/S0002-9939-98-04252-X

Hankel operators on the Bergman space of the unit ball
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Proc. Amer. Math. Soc. 126 (1998), 2005-2012 Request permission

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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