Carleson embedding theorem on convex finite type domains

被引：4

作者：

Jasiczak, M. ^{[1
,2
]}

机构：

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

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 362卷 / 01期

关键词：

Finite type domains; Hardy spaces; Carleson measures; HARDY-SPACES; INTEGRAL-OPERATORS; HOMOGENEOUS TYPE; BOUNDEDNESS; COMPACTNESS;

D O I：

10.1016/j.jmaa.2009.09.022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：167 / 189

页数：23

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