滤波测度空间上正算子与Doob极大算子的加权估计
概率论
2019-04-03 v2 经典分析与常微分方程
摘要
我们刻画了滤波测度空间上正算子的强型和弱型双权不等式。这些估计是Lacey, Sawyer和Uriarte-Tuero所建立的关于 中dyadic cubes的正算子双权不等式的概率类比。我们还获得了Doob极大算子在滤波测度空间上的若干混合界。事实上，建立了Doob极大算子的Hytönen-Pérez型和Lerner-Moen型范数估计。我们的方法主要基于主集的构造。
引用
@article{arxiv.1708.02066,
title = {Weighted estimates for positive operators and Doob maximal operators on filtered measure spaces},
author = {Wei Chen and Chunxiang Zhu and Yahui Zuo and Yong Jiao},
journal= {arXiv preprint arXiv:1708.02066},
year = {2019}
}
备注
22 pages. Accepted by Journal of the Mathematical Society of Japan. arXiv admin note: text overlap with arXiv:1204.6600 by other authors