Spherical maximal operators on Heisenberg groups: Restricted dilation sets
Classical Analysis and ODEs
2025-01-24 v2
Abstract
Consider spherical means on the Heisenberg group with a codimension two incidence relation, and associated spherical local maximal functions where the dilations are restricted to a set . We prove estimates for these maximal operators; the results depend on various notions of dimension of .
Cite
@article{arxiv.2208.02774,
title = {Spherical maximal operators on Heisenberg groups: Restricted dilation sets},
author = {Joris Roos and Andreas Seeger and Rajula Srivastava},
journal= {arXiv preprint arXiv:2208.02774},
year = {2025}
}
Comments
27 pages, 1 figure; final version to appear in Stud. Math