Averages of simplex Hilbert transforms
Classical Analysis and ODEs
2021-03-18 v3
Abstract
We study a multilinear singular integral obtained by taking averages of simplex Hilbert transforms. This multilinear form is also closely related to Calder\'on commutators and the twisted paraproduct. We prove bounds in dimensions two and three and give a conditional result valid in all dimensions.
Cite
@article{arxiv.1812.11701,
title = {Averages of simplex Hilbert transforms},
author = {Polona Durcik and Joris Roos},
journal= {arXiv preprint arXiv:1812.11701},
year = {2021}
}
Comments
15 pages; corrected final version to appear in Proc. AMS