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

Minghui Zhong; Xianming Hou

doi:10.4208/jms.v53n1.20.01

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

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

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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:

Pages: 11

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

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Xianming Hou Email

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

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

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