Carleson measures on convex domains with smooth boundary of finite type

Haichou Li, Jinsong Liu and Hongyu Wang

Mathematische Nachrichten, 2024, vol. 297, issue 2, 694-706

Abstract: Following M. Abate and A. Saracco's work on strongly pseudoconvex domains in Cn$\mathbb {C}^n$, we characterize Carleson measures of A2(D)$A^2(D)$ in bounded convex domains in Cn$\mathbb {C}^n$ with smooth boundary of finite type. We also give examples of Carleson measures with uniformly discrete (with respect to the Kobayashi distance) sequences.

Date: 2024
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