Monotone rearrangement in averaging classes
Functional Analysis
2023-06-30 v1 Classical Analysis and ODEs
Abstract
We consider a general collection of function classes on the interval defined in terms of certain averages and show that monotone rearrangement does not increase the class constant in each case. The formulation includes BMO and with a special choice of the norm and, respectively, characteristic.
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Cite
@article{arxiv.2306.16690,
title = {Monotone rearrangement in averaging classes},
author = {Marat Abdrakhmanov and Leonid Slavin and Pavel Zatitskii},
journal= {arXiv preprint arXiv:2306.16690},
year = {2023}
}
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8 pages