An Equivalent Characterization of $CMO(\mathbb{R}^n)$ with $A_p$ Weights

An Equivalent Characterization of $CMO(\mathbb{R}^n)$ with $A_p$ Weights

Year:    2020

Author:    Minghui Zhong, Xianming Hou

Journal of Mathematical Study, Vol. 53 (2020), Iss. 1 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jms.v53n1.20.01

Journal of Mathematical Study, Vol. 53 (2020), Iss. 1 : pp. 1–11

Published online:    2020-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    11

Keywords:    $BMO_{\omega}(\mathbb{R}^n)$ $CMO(\mathbb{R}^n)$ $A_p$ John-Nirenberg inequality.

Author Details

Minghui Zhong

Xianming Hou