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 - <p style="text-align: justify;">Let $1&lt;p&lt;\infty$ 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.</p>