带能量侧条件与拟立方体测试的分数次奇异积分双权定理
经典分析与常微分方程
2015-05-26 v9
摘要
在假设权函数满足能量侧条件的情况下，我们证明了高维分数次奇异积分的双权定理。测试条件是在拟立方体上选取的，即立方的全局双 Lipschitz 像。
关键词
引用
@article{arxiv.1302.5093,
title = {A two weight theorem for fractional singular integrals with an energy side condition and quasicube testing},
author = {Eric T. Sawyer and Chun-Yen Shen and Ignacio Uriarte-Tuero},
journal= {arXiv preprint arXiv:1302.5093},
year = {2015}
}
备注
100 pages. This version corrects more typos, and clarifies arguments, especially in proving functional energy from energy. We also extend the testing conditions to quasicubes, a largely cosmetic exercise, but providing more flexibility in applications. We thank Michael Lacey for alerting us to several problems and omissions in earlier versions of this paper