Averages along polynomial sequences in discrete nilpotent groups: singular Radon transforms
Classical Analysis and ODEs
2012-05-01 v1
Abstract
We consider a class of operators defined by taking averages along polynomial sequences in discrete nilpotent groups. In this paper we prove boundedness of discrete singular Radon transforms along general polynomial sequences in discrete nilpotent groups of step 2.
Keywords
Cite
@article{arxiv.1204.6525,
title = {Averages along polynomial sequences in discrete nilpotent groups: singular Radon transforms},
author = {Alexandru D. Ionescu and Akos Magyar and Stephen Wainger},
journal= {arXiv preprint arXiv:1204.6525},
year = {2012}
}