Compact Hankel operators on generalized Bergman spaces of the polydisc

الأصل · EN

We show that for f a continuous function on the closed polydisc Dⁿ with n≥ 2, the Hankel operator Hf is compact on the Bergman space of Dⁿ 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.