Off-diagonal estimates for the helical maximal function
Classical Analysis and ODEs
2023-05-29 v1
Abstract
The optimal mapping properties for the (local) helical maximal function are obtained, except for endpoints. The proof relies on tools from multilinear harmonic analysis and, in particular, a localised version of the Bennett--Carbery--Tao restriction theorem.
Cite
@article{arxiv.2305.17133,
title = {Off-diagonal estimates for the helical maximal function},
author = {David Beltran and Jennifer Duncan and Jonathan Hickman},
journal= {arXiv preprint arXiv:2305.17133},
year = {2023}
}
Comments
28 pages, 1 figure