In this paper we study Carleson and reverse Carleson measures for holomorphic function spaces on a homogeneous Siegel domain of Type II. We prove several necessary conditions and sufficient conditions in order for a measure μ to be Carleson and reverse Carleson on mixed-normed weighted Bergman spaces.
Carleson and Reverse Carleson Measures on Homogeneous Siegel Domains / M. Calzi, M.M. Peloso. - In: COMPLEX ANALYSIS AND OPERATOR THEORY. - ISSN 1661-8254. - 16:1(2022 Jan), pp. 4.1-4.54. [10.1007/s11785-021-01177-5]
Carleson and Reverse Carleson Measures on Homogeneous Siegel Domains
M. Calzi
Primo
;M.M. PelosoUltimo
2022
Abstract
In this paper we study Carleson and reverse Carleson measures for holomorphic function spaces on a homogeneous Siegel domain of Type II. We prove several necessary conditions and sufficient conditions in order for a measure μ to be Carleson and reverse Carleson on mixed-normed weighted Bergman spaces.
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