@Article{CMR-25-3,
author = {Zheng, Qingyu and Zunwei, Fu},
title = {Lipschitz Estimates for Commutators of $N$-Dimensional Fractional Hardy Operators},
journal = {Communications in Mathematical Research },
year = {2009},
volume = {25},
number = {3},
pages = {241--245},
abstract = {<p style="text-align: justify;">In this paper, it is proved that the commutator&nbsp;$\mathcal{H}_{β,b}$ which is generated by the $n$-dimensional fractional Hardy operator $\mathcal{H}_β$ and $b\in \dot{Λ}_α(\mathbb{R}^n)$ is bounded from $L^P(\mathbb{R}^n)$ to $L^q(\mathbb{R}^n)$, where $0&lt;α&lt;1,1&lt;p, q&lt;∞$ and $1/p-1/q=(α+β)/n$. Furthermore, the boundedness of $\mathcal{H}_{β,b}$ on the homogenous Herz space $\dot{K}_q^{α,p}(\mathbb{R}^n)$ is obtained.</p>},
issn = {2707-8523},
doi = {https://doi.org/2009-CMR-19331},
url = {https://global-sci.com/article/81947/lipschitz-estimates-for-commutators-of-n-dimensional-fractional-hardy-operators}
}