非齐次局部 $T1$ 定理:对偶指数
经典分析与常微分方程
2013-03-14 v4
摘要
我们在上双倍测度的非齐次设定下,给出了对偶指数的(局部) 定理的另一种证明。这一已知定理为所描述设定下 Calderón-Zygmund 算子的 有界性提供了充分必要条件,而本文的新颖之处在于其证明方法。
引用
@article{arxiv.1301.5858,
title = {Non-Homogeneous Local $T1$ Theorem: Dual Exponents},
author = {Michael T. Lacey and Antti V. Vähäkangas},
journal= {arXiv preprint arXiv:1301.5858},
year = {2013}
}
备注
34 pages, two figures. V2: the main theorem's position in the literature is reassessed. V3: references included. V4: the main theorem is covered by http://arxiv.org/abs/1004.3176