Volume 53, Issue 1
An Equivalent Characterization of CMO(Rn) with Ap Weights

Minghui Zhong & Xianming Hou

J. Math. Study, 53 (2020), pp. 1-11.

Published online: 2020-03

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  • 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.

  • Keywords

Gegenbauer differential operator, G-convolution, O’Neil inequality, G-fractional integral, G-fractional maximal function.

  • AMS Subject Headings

42B20, 42B25, 42B35, 47G10, 47B37

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

mhzhong95@163.com (Minghui Zhong)

houxianming37@163.com (Xianming Hou)

  • BibTex
  • RIS
  • TXT
@Article{JMS-53-1, author = {Zhong , Minghui and Hou , Xianming}, title = {An Equivalent Characterization of CMO(Rn) with Ap 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(Rn) with Ap 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 - Gegenbauer differential operator, G-convolution, O’Neil inequality, G-fractional integral, G-fractional maximal function. 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.

Minghui Zhong & Xianming Hou . (2020). An Equivalent Characterization of CMO(Rn) with Ap Weights. Journal of Mathematical Study. 53 (1). 1-11. doi:10.4208/jms.v53n1.20.01
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