A Survey on Function Spaces of John--Nirenberg Type
Jin Tao, Dachun Yang, Wen Yuan

TL;DR
This survey reviews recent advances in the study of John--Nirenberg spaces and BMO, including their vanishing subspaces, highlighting key developments and open questions in the field.
Contribution
It provides a comprehensive overview of the latest research on function spaces of John--Nirenberg type and discusses open problems for future exploration.
Findings
Summarizes recent progress on John--Nirenberg spaces and BMO.
Describes properties and relationships of vanishing subspaces.
Presents open questions in the study of these function spaces.
Abstract
In this article, the authors give a survey on the recent developments of both the John--Nirenberg space and the space BMO as well as their vanishing subspaces such as VMO, XMO, CMO, , and on or a given cube with finite side length. In addition, some related open questions are also presented.
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