L-Estimates of the Bergman projectionin the Lie ball of C~n

摘要

In this paper, we consider estimates with loss for the Bergman projections of bounded symmetric domains of C~n in their Harish-Chandra realizations. This paper is twofold: on one side we develop transfer methods between these bounded domains and their Cayley transform; on the other side we give a new range of q such that the Bergman projection is bounded from (B_n) to L~q (B_n) where B_n, is the Lie ball of C~n.