Year: 2014
Analysis in Theory and Applications, Vol. 30 (2014), Iss. 2 : pp. 193–204
Abstract
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 $0< q\le \infty$.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.2014.v30.n2.5
Analysis in Theory and Applications, Vol. 30 (2014), Iss. 2 : pp. 193–204
Published online: 2014-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Hölder's inequality Young's inequality Hardy-Littlewood-Sobolev inequality Lorentz space.
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