Hilbert transform along measurable vector fields constant on Lipschitz curves: $L^p$ boundedness
Classical Analysis and ODEs
2014-09-11 v1
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.1409.3010,
title = {Hilbert transform along measurable vector fields constant on Lipschitz curves: $L^p$ boundedness},
author = {Shaoming Guo},
journal= {arXiv preprint arXiv:1409.3010},
year = {2014}
}
Comments
32 pages