### Reproducing properties and ${L}^{p}$-estimates for Bergman projections in Siegel domains of type II

On homogeneous Siegel domains of type II, we prove that under certain conditions, the subspace of a weighted ${L}^{p}$-space (0 < p < ∞) consisting of holomorphic functions is reproduced by a weighted Bergman kernel. We also obtain some ${L}^{p}$-estimates for weighted Bergman projections. The proofs rely on a generalization of the Plancherel-Gindikin formula for the Bergman space ${A}^{2}$.