@Article{ATA-37-3,
author = {Zhidan, Wang and Wu, Huoxiong and Xue, Qingying},
title = {Borderline Weighted Estimates for Commutators of Fractional Integrals},
journal = {Analysis in Theory and Applications},
year = {2021},
volume = {37},
number = {3},
pages = {404--425},
abstract = {<p style="text-align: justify;">Let $I_{\alpha,\vec{b}}$ be the multilinear commutators of the fractional integrals $I_{\alpha}$ with the symbol $\vec{b}=(b_1,&nbsp; \cdots,b_k&nbsp; )$. We show that the constant of borderline weighted estimates for $I_{\alpha}$ is $\frac{1}{{\varepsilon}}$, and for $I_{\alpha,{\vec{b}}}$ is $\frac{1}{{\varepsilon}^{k+1}}$ with each $b_i$ belongs to the Orlicz space $Osc_{\exp L^{s_i}}$.</p>},
issn = {1573-8175},
doi = {https://doi.org/10.4208/ata.2021.lu80.08},
url = {https://global-sci.com/article/73788/borderline-weighted-estimates-for-commutators-of-fractional-integrals}
}