Endpoint estimates and optimality for the generalized spherical maximal operator on radial functions
Classical Analysis and ODEs
2024-08-09 v2
Abstract
We find sharp conditions for the maximal operator associated with generalized spherical mean Radon transform on radial functions to be bounded on power weighted Lebesgue spaces. Moreover, we also obtain the corresponding endpoint results in terms of optimal power weighted weak and restricted weak type estimates.
Cite
@article{arxiv.2201.00327,
title = {Endpoint estimates and optimality for the generalized spherical maximal operator on radial functions},
author = {Adam Nowak and Luz Roncal and Tomasz Z. Szarek},
journal= {arXiv preprint arXiv:2201.00327},
year = {2024}
}
Comments
39 pages, 2 figures