Carleson and reverse Carleson measures on homogeneous Siegel domains (2105.06342v2)

Abstract: In this paper we study Carleson and reverse Carleson measures on holomorphic function spaces on a homogeneous Siegel domain of Type II. We prove several necessary conditions and sufficient conditions in order for a measure $\mu$ to be Carleson and reverse Carleson on mixed-normed weighted Bergman spaces.