An Equivalent Characterization of $CMO(\mathbb{R}^n)$ with $A_p$ Weights
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@Article{JMS-53-1,
author = {Zhong , Minghui and Hou , Xianming},
title = {An Equivalent Characterization of $CMO(\mathbb{R}^n)$ with $A_p$ Weights},
journal = {Journal of Mathematical Study},
year = {2020},
volume = {53},
number = {1},
pages = {1--11},
abstract = {
Let $1<p<\infty$ and $ω\in A_p$. The space $CMO(\mathbb{R}^n)$ is the closure in $BMO(\mathbb{R}^n)$ of the set of $C_c^{\infty}(\mathbb{R}^n)$. In this paper, an equivalent characterization of $CMO(\mathbb{R}^n)$ with $A_p$ weights is established.
}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v53n1.20.01}, url = {http://global-sci.org/intro/article_detail/jms/15205.html} }
TY - JOUR
T1 - An Equivalent Characterization of $CMO(\mathbb{R}^n)$ with $A_p$ Weights
AU - Zhong , Minghui
AU - Hou , Xianming
JO - Journal of Mathematical Study
VL - 1
SP - 1
EP - 11
PY - 2020
DA - 2020/03
SN - 53
DO - http://doi.org/10.4208/jms.v53n1.20.01
UR - https://global-sci.org/intro/article_detail/jms/15205.html
KW - $BMO_{\omega}(\mathbb{R}^n)$, $CMO(\mathbb{R}^n)$, $A_p$, John-Nirenberg inequality.
AB -
Let $1<p<\infty$ and $ω\in A_p$. The space $CMO(\mathbb{R}^n)$ is the closure in $BMO(\mathbb{R}^n)$ of the set of $C_c^{\infty}(\mathbb{R}^n)$. In this paper, an equivalent characterization of $CMO(\mathbb{R}^n)$ with $A_p$ weights is established.
Zhong , Minghui and Hou , Xianming. (2020). An Equivalent Characterization of $CMO(\mathbb{R}^n)$ with $A_p$ Weights.
Journal of Mathematical Study. 53 (1).
1-11.
doi:10.4208/jms.v53n1.20.01
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