Hardy-Littlewood 极大算子交换子的有界性与紧性
泛函分析
2017-06-29 v2
摘要
我们研究了双线性 Hardy-Littlewood 极大算子的交换子在齐次 Triebel-Lizorkin 空间中的映射性质。我们还证明了双线性 Hardy-Littlewood 极大算子的交换子是作用在 Lebesgue 空间乘积上的紧算子。即使在线性情形下，这些结果也是全新的。
引用
@article{arxiv.1706.06242,
title = {Boundedness and Compactness of commutator of Hardy-Littlewood maximal operator},
author = {Dinghuai Wang and Jiang Zhou and Zhidong Teng},
journal= {arXiv preprint arXiv:1706.06242},
year = {2017}
}
备注
An error has occurred: The classical Kolmogorov result about characterization of compactness is usually applied with linear operators. Unfortunately, commutator of Hardy-Littlewood maximal operator is a sublinear one