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

Yong Ding; Ming Yi Lee; Chin Cheng Lin

doi:10.1007/s12220-016-9700-4

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

Yong Ding, Ming Yi Lee, Chin Cheng Lin

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

In this paper, we introduce a weighted Carleson measure dν_E _, _w associated with the family E, where E={Er(x)}r∈I,x∈X is a family of open subsets of a topological space X endowed with a nonnegative Borel measure μ satisfying certain basic conditions. Using Calderón–Zygmund theory, we show that the weighted BMO associated with the family E can be characterized by the weighted Carleson measure dν_E _, _w.

Original language	English
Pages (from-to)	842-867
Number of pages	26
Journal	Journal of Geometric Analysis
Volume	27
Issue number	1
DOIs	https://doi.org/10.1007/s12220-016-9700-4
State	Published - 1 Jan 2017

Keywords

A weights
BMO
Calderón–Zygmund operator
Carleson measure
Hardy spaces
Maximal operator

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10.1007/s12220-016-9700-4

Besov Spaces Associated to Monge-Ampere Equations(2/2)
Lee, M.-Y. (PI)
1/08/16 → 31/07/17
Project: Research

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abstract = "In this paper, we introduce a weighted Carleson measure dνE , w associated with the family E, where E={Er(x)}r∈I,x∈X is a family of open subsets of a topological space X endowed with a nonnegative Borel measure μ satisfying certain basic conditions. Using Calder{\'o}n–Zygmund theory, we show that the weighted BMO associated with the family E can be characterized by the weighted Carleson measure dνE , w.",

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AU - Lin, Chin Cheng

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N2 - In this paper, we introduce a weighted Carleson measure dνE , w associated with the family E, where E={Er(x)}r∈I,x∈X is a family of open subsets of a topological space X endowed with a nonnegative Borel measure μ satisfying certain basic conditions. Using Calderón–Zygmund theory, we show that the weighted BMO associated with the family E can be characterized by the weighted Carleson measure dνE , w.

AB - In this paper, we introduce a weighted Carleson measure dνE , w associated with the family E, where E={Er(x)}r∈I,x∈X is a family of open subsets of a topological space X endowed with a nonnegative Borel measure μ satisfying certain basic conditions. Using Calderón–Zygmund theory, we show that the weighted BMO associated with the family E can be characterized by the weighted Carleson measure dνE , w.

KW - A weights

KW - BMO

KW - Calderón–Zygmund operator

KW - Carleson measure

KW - Hardy spaces

KW - Maximal operator

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SN - 1050-6926

VL - 27

SP - 842

EP - 867

JO - Journal of Geometric Analysis

JF - Journal of Geometric Analysis

IS - 1

ER -

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

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Keywords

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Besov Spaces Associated to Monge-Ampere Equations(2/2)

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