A Survey on Function Spaces of John--Nirenberg Type

Abstract

In this article, the authors give a survey on the recent developments of both the John--Nirenberg space $J{N}_p$ and the space BMO as well as their vanishing subspaces such as VMO, XMO, CMO, $VJ{N}_p$, and $CJ{N}_p$ on ${\mathbb{R}}^n$ or a given cube $Q_0\subset {\mathbb{R}}^n$ with finite side length. In addition, some related open questions are also presented.

65 pages; Submitted

References in corpus (1)

• Approximation in Morrey spaces