On Quotient modules of $H^2({\mathbb{D}}^n)$: Essential Normality and Boundary Representations

B. Krishna Das, Sushil Gorai, Jaydeb Sarkar

Let ${\mathbb{D}}^n$ be the open unit polydisc in ${\mathbb{C}}^n$, $n\ge 1$, and let $H^2({\mathbb{D}}^n)$ be the Hardy space over ${\mathbb{D}}^n$. For $n\ge 3$, we show that if $θ\in…