Some new characterizations of Dirichlet type spaces on the unit ball of Cn

[摘要] The Dirichlet type spaces on the unit ball of C-n are characterized by some oscillations in the Bergman metric in this paper. As an application of these new characterizations of Dirichlet type spaces, we prove that composition operators induced by biholomorphic maps are bounded on D-p (-1 <= p < n). (c) 2006 Elsevier Inc. All rights reserved.

[发布日期] 2006-12-15

[关键词] Dirichlet type spaces;oscillation;composition operator