Weighted Bergman spaces on bounded symmetric domains

Salem Ben Saïd

Vol. 206 (2002), No. 1, 39–68

DOI: 10.2140/pjm.2002.206.39

Abstract

Let 𝒟 be a bounded symmetric domain of tube type and G its group of holomorphic automorphisms. In this paper, we describe explicitly the Plancherel Theorem of weighted Bergman spaces on 𝒟 under the action of certain symmetric subgroups of G.

Milestones

Received: 7 December 2000

Revised: 20 August 2001

Published: 1 September 2002