BMO from dyadic BMO for nonhomogeneous measures
Conde-Alonso, José M. (Brown University (Providence, Estats Units d'Amèrica). Department of Mathematics)

Date:	2020
Abstract:	The usual one third trick allows to reduce problems involving general cubes to a countable family. Moreover, this covering lemma uses only dyadic cubes, which allows to use nice martingale properties in harmonic analysis problems. We consider alternatives to this technique in spaces equipped with nonhomogeneous measures. This entails additional difficulties which force us to consider martingale filtrations that are not regular. The dyadic covering that we find can be used to clarify the relationship between martingale BMO spaces and the most natural BMO space in this setting, which is the space RBMO introduced by Tolsa.
Rights:	Aquest material està protegit per drets d'autor i/o drets afins. Podeu utilitzar aquest material en funció del que permet la legislació de drets d'autor i drets afins d'aplicació al vostre cas. Per a d'altres usos heu d'obtenir permís del(s) titular(s) de drets.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	BMO ; One third trick ; Nondoubling measures
Published in:	Publicacions matemàtiques, Vol. 64 Núm. 1 (2020) , p. 353-372, ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/362899
DOI: 10.5565/PUBLMAT6412014

20 p, 378.1 KB

The record appears in these collections:
Articles > Published articles > Publicacions matemàtiques
Articles > Research articles