Embedding of Mobius Invariant Function Spaces into Tent Spaces

被引：16

作者：

Liu, Junming ^{[1
,2
]}

Lou, Zengjian ^{[1
]}

Zhu, Kehe ^{[3
]}

机构：

[1] Shantou Univ, Dept Math, Shantou 515063, Guangdong, Peoples R China

[2] Guangdong Univ Technol, Sch Appl Math, Guangzhou 10006, Guangdong, Peoples R China

[3] SUNY Albany, Dept Math & Stat, Albany, NY 12222 USA

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2017年 / 27卷 / 02期

关键词：

Mobius invariant spaces; Tent spaces; Embedding; Carleson measure; CARLESON MEASURES;

D O I：

10.1007/s12220-016-9708-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

On the unit disk we introduce a new class of tent spaces T-q (s),(t)(mu) for any positive Borel measure mu, consider a class of Mbius invariant spaces Z(p) of analytic functions, and show that Z(p) is contained in T-1 (p),(1) if and only if mu is a p-Carleson measure. This could be considered a continuation or variation of the work initiated by Xiao

引用

页码：1013 / 1028

页数：16

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