A note on decreasing rearrangement and mean oscillation on measure spaces
Functional Analysis
2023-04-10 v1
Abstract
We derive bounds on the mean oscillation of the decreasing rearrangement on in terms of the mean oscillation of on a suitable measure space . In the special case of a doubling metric measure space, the bound depends only on the doubling constant.
Keywords
Cite
@article{arxiv.2010.15024,
title = {A note on decreasing rearrangement and mean oscillation on measure spaces},
author = {Almut Burchard and Galia Dafni and Ryan Gibara},
journal= {arXiv preprint arXiv:2010.15024},
year = {2023}
}