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arXiv · 1004.1152

Compact Hankel operators on generalized Bergman spaces of the polydisc

Trieu Le
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Abstract

We show that for $f$ a continuous function on the closed polydisc $\bar{\mathbb{D}^n}$ with $n\geq 2$, the Hankel operator $H_{f}$ is compact on the Bergman space of $\mathbb{D}^n$ if and only if there is a decomposition $f=h+g$, where $h$ is in the ball algebra and $g$ vanishes on the boundary of the polydisc.

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Trieu Le. 2010-04-07. Compact Hankel operators on generalized Bergman spaces of the polydisc. https://arxiv.org/abs/1004.1152

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