能量条件与算子的扭曲局部化
经典分析与常微分方程
2018-01-16 v2
摘要
我们证明在维数至少为 2 时，能量条件对于分数阶 Riesz 变换的有界性并非必要。我们还给出一个弱逆命题，即能量条件对于具有正梯度性质的分式奇异积分的扭曲局部化族的有界性是必要的。
引用
@article{arxiv.1801.03706,
title = {Energy conditions and twisted localizations of operators},
author = {Eric T. Sawyer},
journal= {arXiv preprint arXiv:1801.03706},
year = {2018}
}
备注
32 pages. The kernels of the localized operators satisfy only one-sided CZ smoothness estimates, correcting a mistake in the first version. The main result on failure of necessity of energy for Riesz transforms is unaffected