John-Nirenberg lemmas for a doubling measure
Functional Analysis
2015-02-03 v2 Metric Geometry
Abstract
We study, in the context of doubling metric measure spaces, a class of BMO type functions defined by John and Nirenberg. In particular, we present a new version of the Calderon-Zygmund decomposition in metric spaces and use it to prove the corresponding John-Nirenberg inequality.
Keywords
Cite
@article{arxiv.0910.1228,
title = {John-Nirenberg lemmas for a doubling measure},
author = {Daniel Aalto and Lauri Berkovits and Outi Elina Maasalo and Hong Yue},
journal= {arXiv preprint arXiv:0910.1228},
year = {2015}
}
Comments
17 pages, some typos corrected