Carleson measures on convex domains

Abstract

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

Corrected typos. arXiv admin note: text overlap with arXiv:0909.3568 by other authors