关于 Hilbert 变换与 $C^{1+\ze}$ 直线族
经典分析与常微分方程
2007-05-23 v3
摘要
本文已被撤回。关于 Kakeya 极大函数的一个 Lipschitz 变体的一个关键估计证明不完整。
引用
@article{arxiv.math/0310345,
title = {On the Hilbert Transform and $C^{1+\ze}$ Families of Lines},
author = {Michael T Lacey and Xiaochun Li},
journal= {arXiv preprint arXiv:math/0310345},
year = {2007}
}
备注
this paper has been withdrawn. A crucial estimate on a Lipschitz variant of the Kakeya maximal function has an incomplete proof