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. in [7]. This answers in part a question raised by the same authors.
Chalmoukis, N., Lamberti, G. (2024). Carleson measures for Hardy-Sobolev spaces in the Siegel upper half-space. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 540(2 (15 December 2024)) [10.1016/j.jmaa.2024.128635].
Carleson measures for Hardy-Sobolev spaces in the Siegel upper half-space
Chalmoukis, N.
;
2024
Abstract
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. in [7]. This answers in part a question raised by the same authors.
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