A characterization of BMO self-maps of a metric measure space
Classical Analysis and ODEs
2015-10-02 v3
Abstract
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.
Keywords
Cite
@article{arxiv.1308.3933,
title = {A characterization of BMO self-maps of a metric measure space},
author = {Juha Kinnunen and Riikka Korte and Niko Marola and Nageswari Shanmugalingam},
journal= {arXiv preprint arXiv:1308.3933},
year = {2015}
}