Hankel Operators on the Bergman spaces of Reinhardt Domains and Foliations of Analytic Disks

Let $\mathrm{\Omega }\subset {\mathbb{C}}^2$ be a bounded pseudoconvex complete Reinhardt domain with a smooth boundary. We study the behavior of analytic structure in the boundary of $\mathrm{\Omega }$ and obtain a compactness result for Hankel operators on the Bergman space of $\mathrm{\Omega }$.