BMO and the John-Nirenberg Inequality on Measure Spaces

We study the space BMO𝒢 (𝕏) in the general setting of a measure space 𝕏 with a fixed collection 𝒢 of measurable sets of positive and finite measure, consisting of functions of bounded mean oscillation on sets in 𝒢. The aim is to see how much of the familiar BMO machinery holds when metric notions ha...

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Bibliographic Details
Main Authors: Dafni Galia, Gibara Ryan, Lavigne Andrew
Format: Article
Language:English
Published: De Gruyter 2020-01-01
Series:Analysis and Geometry in Metric Spaces
Subjects:
Online Access:https://doi.org/10.1515/agms-2020-0115