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arXiv · 0910.1228

John-Nirenberg lemmas for a doubling measure

Daniel Aalto·Lauri Berkovits·Outi Elina Maasalo·Hong Yue
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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.

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Daniel Aalto, Lauri Berkovits, Outi Elina Maasalo, Hong Yue. 2009-10-07. John-Nirenberg lemmas for a doubling measure. https://doi.org/10.4064/sm204-1-2

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