Dirichlet-type spaces on the unit ball and joint 2-isometrics

摘要

We obtain a formula that relates the spherical moments of the multiplication tuple on a Dirichlet-type space to a complex moment problem in several variables. This cart be seen as the ball-analogue of a formula originally invented by Richter in [23]. We capitalize on this formula to study Dirichlet-type spaces on the unit ball and joint 2-isometrics. (C) 2020 Elsevier Inc. All rights reserved.