Boundedness and Compactness of commutator of Hardy-Littlewood maximal operator
Functional Analysis
2017-06-29 v2
Abstract
We study the mapping property of the commutator of bilinear Hardy-Littlewood maximal operator in homogeneous Triebel-Lizorkin space. We also show that the commutator of bilinear Hardy-Littlewood maximal operator is a compact operator acting on product of Lebesgue spaces. The results are new even in the linear case.
Keywords
Cite
@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}
}
Comments
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