@Article{ATA-30-193,
author = {Z. Shi, W. Di and D. Y. Yan},
title = {Necessary and Sufficient Conditions of Doubly Weighted Hardy-Littlewood-Sobolev Inequality},
journal = {Analysis in Theory and Applications},
year = {2014},
volume = {30},
number = {2},
pages = {193--204},
abstract = {<p style="text-align: justify;">Using product and convolution theorems on Lorentz spaces, we characterize the sufficient and necessary conditions which ensure the validity of the doubly weighted Hardy-Littlewood-Sobolev inequality. It should be pointed out that we consider whole ranges of $p$ and $q$, i.e., $0&lt; p\le \infty$ and $0&lt; q\le \infty$.</p>},
issn = {1573-8175},
doi = {https://doi.org/10.4208/ata.2014.v30.n2.5},
url = {http://global-sci.org/intro/article_detail/ata/4484.html}
}