The weak type $(1,p)$ for convolution operators on locally compact groups
Functional Analysis
2018-03-08 v1
Abstract
In this paper we provide necessary and sufficient conditions for the boundedness, of convolution operators on locally compact (Hausdorff) topological groups. So, we generalize a classical result due to Sobolev-Hardy-Littlewood and Stepanov. Applications to Fourier multipliers on Lie groups also are given.
Cite
@article{arxiv.1803.02413,
title = {The weak type $(1,p)$ for convolution operators on locally compact groups},
author = {Duván Cardona},
journal= {arXiv preprint arXiv:1803.02413},
year = {2018}
}