Weighted Inequalities for Fractional maximal functions on the infinite rooted $k$-ary tree
Classical Analysis and ODEs
2021-12-13 v1
Abstract
In this article we introduce the fractional Hardy-Littlewood maximal function on the infinite rooted -ary tree and study its weighted boundedness. We also provide examples of weights for which the fractional Hardy-Littlewood maximal function satisfies strong type estimates on the infinite rooted -ary tree.
Keywords
Cite
@article{arxiv.2112.05494,
title = {Weighted Inequalities for Fractional maximal functions on the infinite rooted $k$-ary tree},
author = {Abhishek Ghosh and Ezequiel Rela},
journal= {arXiv preprint arXiv:2112.05494},
year = {2021}
}