John–Nirenberg lemmas for a doubling measure
Volume 204 / 2011
Studia Mathematica 204 (2011), 21-37
MSC: 43A85, 46E30.
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 Calderón–Zygmund decomposition in metric spaces and use it to prove the corresponding John–Nirenberg inequality.
