BMO spaces for nondoubling metric measure spaces

In this article we study the family of BMOp spaces, p ≥ 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 additi...

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Detalles Bibliográficos
Autor: Kosz, Dariusz
Tipo de recurso: artículo
Fecha de publicación:2020
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:218565
Acceso en línea:https://ddd.uab.cat/record/218565
https://dx.doi.org/urn:doi:10.5565/PUBLMAT6412004
Access Level:acceso abierto
Palabra clave:BMO space
Metric measure space
Non-doubling measure
John-Nirenberg inequality
Descripción
Sumario:In this article we study the family of BMOp spaces, p ≥ 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.