Compactness of products of Hankel operators on the polydisk and some product domains in ${\mathbb{C}}^2$

Zeljko Cuckovic, Sonmez Sahutoglu

Let ${\mathbb{D}}^n$ be the polydisk in ${\mathbb{C}}^n$ and the symbols $\varphi ,\psi \in C(\overline{{\mathbb{D}}^n})$ such that $\varphi$ and $\psi$ are pluriharmonic on any $(n-1)$-dimensional polydisk in t…