Monotone rearrangement does not increase generalized Campanato norm in VMO
Functional Analysis
2024-12-02 v2 Classical Analysis and ODEs
Abstract
We consider a quantitative version of the space VMO on an interval, equipped with a quadratic Campanato-type norm, and prove that monotone rearrangement does not increase the norm in this space.
Cite
@article{arxiv.2301.01846,
title = {Monotone rearrangement does not increase generalized Campanato norm in VMO},
author = {Leonid Slavin and Pavel Zatitskii},
journal= {arXiv preprint arXiv:2301.01846},
year = {2024}
}
Comments
15 pages, 6 figures. In this version, the main theorem (Th. 1.3) is strengthened to omit the previous requirement of admissibility of \xi