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

Eleftherios N. Nikolidakis

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…