Carleson embedding theorem on convex finite type domains

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:362

Article

Jasiczak, M.^1,2 

[1] UAM, Fac Math & Comp Sci, PL-61614 Poznan, Poland

[2] Polish Acad Sci, Inst Math, PL-00956 Warsaw, Poland

关键词: Finite type domains;    Hardy spaces;    Carleson measures;   

DOI  :  10.1016/j.jmaa.2009.09.022

来源: Elsevier

【 摘 要 】

This paper concerns certain geometric aspects of function theory on smoothly bounded convex domains of finite type in C-n. Specifically, we prove the Carleson-Hormander inequality for this class of domains and provide examples of Carleson measures improving a known result concerning such measures associated to bounded holomorphic functions. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

Free