Dirichlet-type spaces of the bidisc and Toral $2$-isometries

Santu Bera, Sameer Chavan, Soumitra Ghara

We introduce and study Dirichlet-type spaces $\mathcal{D}({\mu }_1,{\mu }_2)$ of the unit bidisc ${\mathbb{D}}^2,$ where ${\mu }_1,{\mu }_2$ are finite positive Borel measures on the unit circle. We sho…