Carleson and reverse Carleson measures on homogeneous Siegel domains

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.

arXiv comment40 pages, no figures

References in corpus (6)

• Carleson measures and uniformly discrete sequences in strongly pseudoconvex domains
• Paley--Wiener theorems on the Siegel upper half-space
• Holomorphic Function Spaces on Homogeneous Siegel Domains
• Toeplitz and Cesàro-Type Operators on Homogeneous Siegel Domains
• Sampling in spaces of entire functions of exponential type in ${\mathbb{C}}^{n+1}$
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Cited by in corpus (4)

• Bernstein Spaces on Siegel CR Manifolds
• Boundedness of Bergman projectors on homogeneous Siegel domains
• Sampling in spaces of entire functions of exponential type in ${\mathbb{C}}^{n+1}$
• Carleson and Sampling measures on Bernstein spaces on Siegel CR Manifolds