Carleson Measure Characterization of Weighted BMO Associated with a Family of General Sets

被引：8

作者：

Ding, Yong ^{[1
]}

Lee, Ming-Yi ^{[2
]}

Lin, Chin-Cheng ^{[2
]}

机构：

[1] Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R China

[2] Natl Cent Univ, Dept Math, Chungli 320, Taiwan

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2017年 / 27卷 / 01期

关键词：

A(p) weights; BMO; Carleson measure; Calderon-Zygmund operator; Hardy spaces; Maximal operator; HOMOGENEOUS TYPE; HARDY-SPACES; OPERATORS;

D O I：

10.1007/s12220-016-9700-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce a weighted Carleson measure d nu(E,w) associated with the family E, where E = {E-r (x)}(r is an element of I,x is an element of X) is a family of open subsets of a topological space X endowed with a nonnegative Borel measure mu satisfying certain basic conditions. Using Calderon-Zygmund theory, we show that the weighted BMO associated with the family E can be characterized by the weighted Carleson measure d nu(E,w).

引用

页码：842 / 867

页数：26

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