John-Nirenberg lemmas for a doubling measure

Details John-Nirenberg lemmas for a doubling measure John-Nirenberg lemmas for a doubling measure

2009-10-07

arxiv.org/abs/0910.1228v2

Mathematics

Functional Analysis

17 pages, some typos corrected

Scientific paper

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.

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