Hilbert transform along measurable vector fields constant on Lipschitz curves: $L^2$ boundedness
Classical Analysis and ODEs
2014-10-29 v2
Abstract
We prove the boundedness of the directional Hilbert transform in the plane relative to measurable vector fields which are constant on suitable Lipschitz curves.
Cite
@article{arxiv.1401.2890,
title = {Hilbert transform along measurable vector fields constant on Lipschitz curves: $L^2$ boundedness},
author = {Shaoming Guo},
journal= {arXiv preprint arXiv:1401.2890},
year = {2014}
}
Comments
30 pages, 3 figures