Dirichlet Spaces Associated With Locally Finite Rooted Directed Trees

Sameer Chavan, Deepak Kumar Pradhan, Shailesh Trivedi

Let $\mathcal{T}=(V,\mathcal{E})$ be a leafless, locally finite rooted directed tree. We associate with $\mathcal{T}$ a one parameter family of Dirichlet spaces $\mathscr H_q~(q \geq…