Annales Academiæ Scientiarum Fennicæ
Mathematica
Volumen 42, 2017, 551-562
National and Kapodistrian University of Athens,
Department of Mathematics
Panepisimioupolis, Zografou 157-84, Athens, Greece;
lefteris 'at' math.uoc.gr
Abstract. We introduce the space of dyadic bounded mean oscillation functions f defined on [0,1]n and study the behavior of the non increasing 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.
2010 Mathematics Subject Classification: Primary 42B35.
Key words: Dyadic-BMO functions, dyadic Gurov–Reshetnyak condition, equimeasurable rearrangements of functions.
Reference to this article: E. N. Nikolidakis: Dyadic-BMO functions, the dyadic Gurov–Reshetnyak condition on [0,1]n and equimeasurable rearrangements of functions. Ann. Acad. Sci. Fenn. Math. 42 (2017), 551-562.
https://doi.org/10.5186/aasfm.2017.4228
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