Monotonic rearrangements of functions with small mean oscillation
Classical Analysis and ODEs
2016-04-07 v1 Probability
Abstract
We obtain sharp bounds for the monotonic rearrangement operator from "dyadic-type" classes to "continuous". In particular, for the space and Muckenhoupt classes. The idea is to connect the problem with a simple geometric construction named -extension.
Keywords
Cite
@article{arxiv.1506.00502,
title = {Monotonic rearrangements of functions with small mean oscillation},
author = {Dmitriy M. Stolyarov and Vasily I. Vasyunin and Pavel B. Zatitskiy},
journal= {arXiv preprint arXiv:1506.00502},
year = {2016}
}
Comments
12 pages, 2 figures