Multidimensional rearrangement and Lorentz spaces
Classical Analysis and ODEs
2007-05-23 v1 Functional Analysis
Abstract
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.
Cite
@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}
}
Comments
22 pages