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

Data:	2020
Resum:	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.
Drets:	Tots els drets reservats.
Llengua:	Anglès
Document:	Article ; recerca ; Versió publicada
Matèria:	BMO ; One third trick ; Nondoubling measures
Publicat a:	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

El registre apareix a les col·leccions:
Articles > Articles publicats > Publicacions matemàtiques
Articles > Articles de recerca