Cancellation for the simplex Hilbert transform
Classical Analysis and ODEs
2018-03-13 v1
Abstract
We show that the truncated simplex Hilbert transform enjoys some cancellation in the sense that its norm grows sublinearly in the number of scales retained in the truncation. This extends the recent result by Tao on cancellation for the multilinear Hilbert transform. Our main tool is the Hilbert space regularity lemma due to Gowers, which enables a very short proof.
Keywords
Cite
@article{arxiv.1507.02436,
title = {Cancellation for the simplex Hilbert transform},
author = {Pavel Zorin-Kranich},
journal= {arXiv preprint arXiv:1507.02436},
year = {2018}
}
Comments
8 pages