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...
Main Authors: | , , |
---|---|
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 |