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arXiv · 2306.16690

Monotone rearrangement in averaging classes

Marat Abdrakhmanov·Leonid Slavin·Pavel Zatitskii
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Abstract

We consider a general collection of function classes on the interval $[0,1]$ 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 $A_2$ with a special choice of the norm and, respectively, characteristic.

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Marat Abdrakhmanov, Leonid Slavin, Pavel Zatitskii. 2023-06-29. Monotone rearrangement in averaging classes. https://arxiv.org/abs/2306.16690

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