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