关于经典分数阶奇异积分能量反转失效的注记
经典分析与常微分方程
2014-03-18 v6
摘要
对于 ，我们证明了 -分数阶 Riesz 变换向量的能量反转失效，更一般地，证明了任何核在球体每个大圆上积分为零的 -分数阶卷积奇异积分向量的能量反转失效。
引用
@article{arxiv.1401.0467,
title = {A note on failure of energy reversal for classical fractional singular integrals},
author = {Eric T. Sawyer and Chun-Yen Shen and Ignacio Uriarte-Tuero},
journal= {arXiv preprint arXiv:1401.0467},
year = {2014}
}
备注
24 pages. This version references a correct form of the T1 theorem, corrects typos and uses Bochner's theorem to complete the proof for the missing range of alpha, and also points out an easy extension to higher dimensions. arXiv admin note: text overlap with arXiv:1305.5104