John-Nirenberg lemmas for a doubling measure

Daniel Aalto; Lauri Berkovits; Outi Elina Kansanen; Yue Hong

doi:10.4064/sm204-1-2

John-Nirenberg lemmas for a doubling measure

Daniel Aalto^*, Lauri Berkovits, Outi Elina Kansanen, Yue Hong

^*Corresponding author for this work

Department of Mathematics and Systems Analysis

Research output: Contribution to journal › Article › Scientific › peer-review

14 Citations (Scopus)

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.

Original language	English
Pages (from-to)	21-37
Number of pages	17
Journal	Studia Mathematica
Volume	204
Issue number	1
DOIs	https://doi.org/10.4064/sm204-1-2
Publication status	Published - 2011
MoE publication type	A1 Journal article-refereed

Keywords

Calderón-Zygmund decomposition
Doubling measure
Good-λ inequality
John-Nirenberg lemma

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10.4064/sm204-1-2

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KW - Good-λ inequality

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