L~(p,q)-Boundedness of Bergman Projections in Homogeneous Siegel Domains of Type II

摘要

In this paper, we generalize to homogeneous Siegel domains of second kind the L~p-continuity properties of the Bergman projection. Precisely, we give an improvement of the index p using Fourier analysis as in the case of convex homogeneous tube type domains (Nana and Trojan in Ann. Scuola Norm. Sup. Pisa Cl. Sci. (5) X:477–511, 2011).