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Monotonic rearrangements of functions with small mean oscillation
Dmitriy M. Stolyarov ; Vasily I. Vasyunin ; Pavel B. Zatitskiy ;
Date:	1 Jun 2015
Abstract:	We obtain sharp bounds for the monotonic rearrangement operator from "dyadic-type" classes to "continuous". In particular, for the $mathrm{BMO}$ space and Muckenhoupt classes. The idea is to connect the problem with a simple geometric construction named $alpha$-extension.
Source:	arXiv, 1506.0502
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