%0 Journal Article
%T Essential norm estimates for Hankel operators on convex domains in $\mathbb{C}^2$
%A Zeljko Cuckovic
%A Sonmez Sahutoglu
%J Mathematics
%D 2015
%I arXiv
%X Let $\Omega\subset \mathbb{C}^2$ be a bounded convex domain with $C^1$-smooth boundary and $\varphi\in C^1(\overline{\Omega})$ such that $\varphi$ is harmonic on the nontrivial disks in the boundary. We estimate the essential norm of the Hankel operator $H_{\varphi}$ in terms of the $\overline{\partial}$ derivatives of $\varphi$ "along" the nontrivial disks in the boundary.
%U http://arxiv.org/abs/1509.02394v1