Improved Buckley's theorem on LCA groups
Classical Analysis and ODEs
2019-05-08 v1
Abstract
We present sharp quantitative weighted norm inequalities for the Hardy-Littlewood maximal function in the context of Locally Compact Abelian Groups, obtaining an improved version of the so-called Buckley's Theorem. On the way, we prove a precise reverse H\"older inequality for Muckenhoupt weights and provide a valid version of the "open property" for Muckenhoupt weights.
Keywords
Cite
@article{arxiv.1711.05223,
title = {Improved Buckley's theorem on LCA groups},
author = {Victoria Paternostro and Ezequiel Rela},
journal= {arXiv preprint arXiv:1711.05223},
year = {2019}
}