Anal. Theory Appl., 30 (2014), pp. 193-204.
Published online: 2014-06
Cited by
- BibTex
- RIS
- TXT
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., $0< p\le \infty$ and $0< q\le \infty$.
}, 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} }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., $0< p\le \infty$ and $0< q\le \infty$.