Juha Kinnunen, Riikka Korte, Niko Marola, Nageswari Shanmugalingam
Published 2013-08-19, updated 2015-02-26Version 2
This paper studies functions of bounded mean oscillation (BMO) on metric spaces equipped with a doubling measure. The main result gives characterizations for mappings that preserve BMO. This extends the corresponding Euclidean results by Gotoh to metric measure spaces. The argument is based on a generalizations Uchiyama's construction of certain extremal BMO-functions and John-Nirenberg's lemma.
Comments: to appear in Collectanea Mathematica
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