Carleson measures on bounded C-convex domains

被引：1

作者：

Bi, Enchao ^{[1
]}

Su, Guicong ^{[2
]}

Zhang, Shuo ^{[3
]}

机构：

[1] Qingdao Univ, Sch Math & Stat, Qingdao 266071, Shandong, Peoples R China

[2] Wuhan Univ Technol, Sch Math & Stat, Wuhan 430070, Hubei, Peoples R China

[3] Tianjin Univ Technol, Coll Sci, Tianjin 300384, Peoples R China

来源：

BULLETIN DES SCIENCES MATHEMATIQUES | 2024年 / 196卷

基金：

中国国家自然科学基金;

关键词：

Carleson measure; C -convex domain; Bergman space; OPERATORS;

D O I：

10.1016/j.bulsci.2024.103492

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we completely characterize the Carleson and the vanishing Carleson measures on bounded C-convex domains in terms of the Carath & eacute;o dory (or the Kobayashi) geometry and Bergman geometry. As a corollary, we obtain a sufficient and necessary condition for the composition operators on Cconvex domains to be bounded on associated Bergman spaces. (c) 2024 Elsevier Masson SAS. All rights are reserved, including those for text and data mining, AI training, and similar technologies.

引用

页数：16

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