The duals of Bergman spaces in Siegel domains of type II

Abstract

In every homogeneous Siegel domain of type II , for some real number $p_0>2$, we characterize the dual of the weighted Bergman space $A^{p,r}$ when $1\leq p < p_0$. In the symmetric case, we also characterize the dual of with $p_1 < p < 1$ for some $p_1\in (0,1)$, and extend this to two homogeneous non symmetric Siegel domains of type II