John-Nirenberg lemmas for a doubling measure
arXiv:0910.1228 · doi:10.4064/sm204-1-2
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.
17 pages, some typos corrected