Publicacions Matemàtiques

$\mathit{BMO}$ spaces for nondoubling metric measure spaces

Dariusz Kosz

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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.

Note

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

Article information

Source
Publ. Mat., Volume 64, Number 1 (2020), 103-119.

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

Permanent link to this document
https://projecteuclid.org/euclid.pm/1578020432

Digital Object Identifier
doi:10.5565/PUBLMAT6412004

Mathematical Reviews number (MathSciNet)
MR4047558

Subjects
Primary: 42B35: Function spaces arising in harmonic analysis 46E30: Spaces of measurable functions (Lp-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)

Keywords
$\mathit{BMO}$ space metric measure space non-doubling measure John-Nirenberg inequality

Citation

Kosz, Dariusz. $\mathit{BMO}$ spaces for nondoubling metric measure spaces. Publ. Mat. 64 (2020), no. 1, 103--119. doi:10.5565/PUBLMAT6412004. https://projecteuclid.org/euclid.pm/1578020432


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