Carleson measures on bounded C-convex domains

In this paper, we completely characterize the Carleson and the vanishing Carleson measures on bounded C-convex domains in terms of the Carathéodory (or the Kobayashi) geometry and Bergman geometry. As a corollary, we obtain a sufficient and necessary condition for the composition operators on C-conv...

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Veröffentlicht in:Bulletin des sciences mathématiques 2024-11, Vol.196, p.103492, Article 103492
Hauptverfasser: Bi, Enchao, Su, Guicong, Zhang, Shuo
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Sprache:eng
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Zusammenfassung:In this paper, we completely characterize the Carleson and the vanishing Carleson measures on bounded C-convex domains in terms of the Carathéodory (or the Kobayashi) geometry and Bergman geometry. As a corollary, we obtain a sufficient and necessary condition for the composition operators on C-convex domains to be bounded on associated Bergman spaces.
ISSN:0007-4497
DOI:10.1016/j.bulsci.2024.103492