Carleson measures for Hardy-Sobolev spaces in the Siegel upper half-space
Résumé
We give a capacitary type characterization of Carleson measures for a class of Hardy-Sobolev spaces (also known as weighted Dirichlet spaces) on the Siegel upper half-space, introduced by Arcozzi et al. This answers in part a question raised by the same authors.
Mots clés
2020 Mathematics Subject Classification. Primary: 32A37
Secondary: 32A70 Hilbert spaces of holomorphic functions Carleson measures Hardy-Sobolev spaces Weighted Dirichlet spaces Multipliers
Secondary: 32A70 Hilbert spaces of holomorphic functions
Carleson measures
Hardy-Sobolev spaces
Weighted Dirichlet spaces
Multipliers
Complex Variables (math.CV)
Functional Analysis (math.FA)
FOS: Mathematics
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