Compactness of Hankel operators with continuous symbols

Timothy Clos, Sonmez Sahutoglu

Let $\Omega$ be a bounded convex Reinhardt domain in ${\mathbb{C}}^2$ and $\varphi \in C(\bar{\Omega })$. We show that the Hankel operator $H_{\varphi }$ is compact if and only if $\varphi$ is holomorphic along every…