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arXiv · 1201.4835

Compactness of products of Hankel operators on convex Reinhardt domains in C^2

Zeljko Cuckovic·Sonmez Sahutoglu
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Abstract

Let D be a piecewise smooth bounded convex Reinhardt domain in C^2. Assume that the symbols f and g are continuous on the closure of D and harmonic on the disks in the boundary of D. We show that if the product of Hankel operators H^*_f H_g is compact on the Bergman space of D, then on any disk in the boundary of D, either f or g is holomorphic.

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Zeljko Cuckovic, Sonmez Sahutoglu. 2012-01-23. Compactness of products of Hankel operators on convex Reinhardt domains in C^2. https://arxiv.org/abs/1201.4835

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