Singular measures and convolution operators
经典分析与常微分方程
2012-11-06 v1
摘要
We show that in the study of certain convolution operators, functions can be replaced by measures without changing the size of the constants appearing in weak type (1,1) inequalities. As an application, we prove that the best constants for the centered Hardy-Littlewood maximal operator associated to parallelotopes do not decrease with the dimension.
引用
@article{arxiv.math/0207285,
title = {Singular measures and convolution operators},
author = {J. M. Aldaz and Juan L. Varona},
journal= {arXiv preprint arXiv:math/0207285},
year = {2012}
}
备注
8 pages