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

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研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

7 引文斯高帕斯（Scopus）

摘要

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.

原文	???core.languages.en_GB???
頁（從 - 到）	842-867
頁數	26
期刊	Journal of Geometric Analysis
卷	27
發行號	1
DOIs	https://doi.org/10.1007/s12220-016-9700-4
出版狀態	已出版 - 1 1月 2017

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10.1007/s12220-016-9700-4

Monge-Ampere 方程相關的 Besove 空間(2/2)
Lee, M.-Y. (PI)
1/08/16 → 31/07/17
研究計畫: Research

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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.

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KW - BMO

KW - Calderón–Zygmund operator

KW - Carleson measure

KW - Hardy spaces

KW - Maximal operator

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

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