English

Carleson measures on convex domains

Complex Variables 2020-12-16 v3

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 with smooth boundary of finite type. We also give examples of Carleson measures with uniformly discrete (with respect to the Kobayashi distance) sequences.

Keywords

Cite

@article{arxiv.2012.06309,
  title  = {Carleson measures on convex domains},
  author = {Haichou Li and Jinsong Liu and Hongyu Wang},
  journal= {arXiv preprint arXiv:2012.06309},
  year   = {2020}
}

Comments

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

R2 v1 2026-06-23T20:54:01.431Z