Hardy-Littlewood-Sobolev inequality on product spaces
Classical Analysis and ODEs
2022-02-23 v6
Abstract
We study a family of fractional integral operator defined on an homogeneous space with a "rectangle doubling" measure. As a result, we give an extension of the classical Hardy-Littlewood-Sobolev theorem to a multi-parameter setting.
Keywords
Cite
@article{arxiv.1901.00830,
title = {Hardy-Littlewood-Sobolev inequality on product spaces},
author = {Zipeng Wang},
journal= {arXiv preprint arXiv:1901.00830},
year = {2022}
}
Comments
a figure is added