A framework for non-homogeneous analysis on metric spaces, and the RBMO space of Tolsa
A new class of metric measure spaces is introduced and studied. This class generalises the well-established doubling metric measure spaces as well as the spaces (Rn, μ) with μ(B(α, r)) ≤ Crd, in which non-doubling harmonic analysis has recently been developed. It seems to be a promising framework fo...
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2010 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:57607 |
| Acceso en línea: | https://ddd.uab.cat/record/57607 https://dx.doi.org/urn:doi:10.5565/PUBLMAT_54210_10 |
| Access Level: | acceso abierto |
| Palabra clave: | Non-doubling measure Doubling balls John-Nirenberg inequality |
| Sumario: | A new class of metric measure spaces is introduced and studied. This class generalises the well-established doubling metric measure spaces as well as the spaces (Rn, μ) with μ(B(α, r)) ≤ Crd, in which non-doubling harmonic analysis has recently been developed. It seems to be a promising framework for an abstract extension of this theory. Tolsa's space of regularised BMO functions is defined in this new setting, and the John-Nirenberg inequality is proven. |
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