Topics in dyadic Dirichlet spaces (Q1774330)

The paper investigates the function theory on function spaces on a dyadic tree which models Dirichlet spaces of holomorphic functions. Most of the specific questions addressed deal with Carleson measures on those spaces. The dyadic tree is defined on the unit disk in terms of the hyperbolic metric. Most results here have since been generalized to the setting of the unit ball by the same authors.