Essential normality of quotient modules vs. Hilbert-Schmidtness of submodules in $H^2({\mathbb{D}}^2)$

Penghui Wang, Chong Zhao, Zeyou Zhu

In the present paper, we prove that all the quotient modules in $H^2({\mathbb{D}}^2)$, associated to the finitely generated submodules containing a distinguished homogenous polynomial…