107 citations · 699 across the 121 of their papers we have counts for
3 papers · 1 filter
Potential Theory on Trees, Graphs and Ahlfors Regular Metric Spaces
N. Arcozzi, R. Rochberg, E. Sawyer +1
We investigate connections between potential theories on a Ahlfors-regular metric space X, on a graph G associated with X, and on the tree T obtained by removing the "horizontal ed…
Distance Functions for Reproducing Kernel Hilbert Spaces
Nicola Arcozzi, Richard Rochberg, Eric T. Sawyer +1
Suppose H is a space of functions on X. If H is a Hilbert space with reproducing kernel then that structure of H can be used to build distance functions on X. We describe some of t…
The Dirichlet space: A Survey
Nicola Arcozzi, Richard Rochberg, Eric Sawyer +1
In this paper we survey many results on the Dirichlet space of analytic functions. Our focus is more on the classical Dirichlet space on the disc and not the potential generalizati…