%0 Journal Article %T -Estimates of the Bergman projection in the Lie ball of %A Cyrille Nana %J Journal of Function Spaces and Applications %D 2011 %I Hindawi Publishing Corporation %R 10.1155/2011/291620 %X In this paper, we consider estimates with loss for the Bergman projections of bounded symmetric domains of ℂn 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 L∞(ℬn) to Lq(ℬn) where ℬn is the Lie ball of ℂn. %U http://www.hindawi.com/journals/jfsa/2011/291620/