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 $JN_p$ and the space BMO as well as their vanishing subspaces such as VMO, XMO, CMO, $VJN_p$, and $CJN_p$ 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.
- Publication:
-
arXiv e-prints
- Pub Date:
- August 2021
- DOI:
- arXiv:
- arXiv:2108.01511
- Bibcode:
- 2021arXiv210801511T
- Keywords:
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- Mathematics - Functional Analysis;
- Mathematics - Analysis of PDEs;
- Mathematics - Classical Analysis and ODEs;
- Primary 42B35;
- Secondary 42B30;
- 46E35
- E-Print:
- 65 pages