Bilinear Spherical Maximal Function
Classical Analysis and ODEs
2017-04-13 v1
Abstract
We obtain boundedness for the bilinear spherical maximal function in a range of exponents that includes the Banach triangle and a range of with . We also obtain counterexamples that are asymptotically optimal with our positive results on certain indices as the dimension tends to infinity.
Cite
@article{arxiv.1704.03586,
title = {Bilinear Spherical Maximal Function},
author = {J. A. Barrionevo and Loukas Grafakos and Danqing He and Petr Honzík and Lucas Oliveira},
journal= {arXiv preprint arXiv:1704.03586},
year = {2017}
}