Curved commutators in the plane
Classical Analysis and ODEs
2024-03-14 v1
Abstract
We complete the boundedness theory of commutators of Hilbert transforms along monomial curves by providing the previously missing lower bounds. This optimal result now covers all monomial curves while previous results had significant geometric restrictions. We also, for the first time, develop the corresponding necessity theory for curves with non-vanishing torsion.
Cite
@article{arxiv.2403.08338,
title = {Curved commutators in the plane},
author = {Kangwei Li and Henri Martikainen and Tuomas Oikari},
journal= {arXiv preprint arXiv:2403.08338},
year = {2024}
}
Comments
27 pages