2020 $\mathit{BMO}$ spaces for nondoubling metric measure spaces
Dariusz Kosz
Publ. Mat. 64(1): 103-119 (2020). DOI: 10.5565/PUBLMAT6412004

Abstract

In this article we study the family of $\mathit{BMO}^p$ spaces, $p \geq 1$, in the general context of metric measure spaces. We give a characterization theorem that allows to describe all possible relations between these spaces considered as sets of functions. Examples illustrating the obtained cases and some additional results related to the John-Nirenberg inequality are also included.

Funding Statement

The author is supported by the National Science Centre of Poland, project no. 2016/ 21/N/ST1/01496.

Citation

Download Citation

Dariusz Kosz. "$\mathit{BMO}$ spaces for nondoubling metric measure spaces." Publ. Mat. 64 (1) 103 - 119, 2020. https://doi.org/10.5565/PUBLMAT6412004

Information

Received: 2 February 2018; Revised: 5 July 2018; Published: 2020
First available in Project Euclid: 3 January 2020

zbMATH: 07173898
MathSciNet: MR4047558
Digital Object Identifier: 10.5565/PUBLMAT6412004

Subjects:
Primary: 42B35 , 46E30

Keywords: $\mathit{BMO}$ space , John-Nirenberg inequality , metric measure space , Non-doubling measure

Rights: Copyright © 2020 Universitat Autònoma de Barcelona, Departament de Matemàtiques

Vol.64 • No. 1 • 2020
Back to Top