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arXiv · 1410.4128

Dyadic-BMO functions, the dyadic Gurov-Reshetnyak conditions on $[0,1]^n$ and rearrangements of functions

Eleftherios N. Nikolidakis
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Abstract

We introduce the space of dyadic bounded mean oscillation functions $f$ defined on $[0,1]^n$ and study the behavior of the nonincreasing rearrangement of $f$, as an element of the space $BMO((0,1])$. We also study the analogous class of functions that satisfy the dyadic Gurov-Reshetnyak condition and look upon their integrability properties.

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Eleftherios N. Nikolidakis. 2014-10-14. Dyadic-BMO functions, the dyadic Gurov-Reshetnyak conditions on $[0,1]^n$ and rearrangements of functions. https://arxiv.org/abs/1410.4128

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