Multidimensional rearrangement and Lorentz spaces
经典分析与常微分方程
2007-05-23 v1 泛函分析
摘要
We define a multidimensional rearrangement, which is related to classical inequalities for functions that are monotone in each variable. We prove the main measure theoretical results of the new theory and characterize the functional properties of the associated weighted Lorentz spaces.
引用
@article{arxiv.math/0110118,
title = {Multidimensional rearrangement and Lorentz spaces},
author = {Sorina Barza and Lars-Erik Persson and Javier Soria},
journal= {arXiv preprint arXiv:math/0110118},
year = {2007}
}
备注
22 pages