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 |
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Format: | Artikel |
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. |
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ISSN: | 0007-4497 |
DOI: | 10.1016/j.bulsci.2024.103492 |