Dirichlet-type spaces of the unit bidisc and toral completely hyperexpansive operators

Santu Bera

We discuss a notion, originally introduced by Aleman in one variable, of Dirichlet-type space $\mathcal{D}(\hat{I}{¼}_1,\hat{I}{¼}_2)$ on the unit bidisc ${\mathbb{D}}^2,$ with superharmonic weights r…