Fractional Maximal operator in hyperbolic spaces
Classical Analysis and ODEs
2024-01-01 v1
Abstract
In this article, we introduce the fractional maximal operator on the Hyperbolic space, a non-doubling measure space, and study the weighted boundedness. Motivated in the weighted boundedness of Hardy-Littlewood maximal studied by Antezana and Ombrosi in [1], we give conditions for the weak type and strong type estimate for fractional maximal. Also, we provide examples of weights for which the fractional maximal operator satisface weak type inequality but strong type inequality fails.
Cite
@article{arxiv.2312.17410,
title = {Fractional Maximal operator in hyperbolic spaces},
author = {Gonzalo Ibañez-Firnkorn and Emanuel Ramadori},
journal= {arXiv preprint arXiv:2312.17410},
year = {2024}
}
Comments
13 pages