A framework for non-homogeneous analysis on metric spaces, and the RBMO space of Tolsa
Hytönen, Tuomas ![ORCID Identifier](/img/uab/orcid.ico)
(University of Helsinki. Department of Mathematics and Statistics)
Date: |
2010 |
Abstract: |
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. |
Rights: |
Tots els drets reservats. ![](/img/licenses/InC.ico) |
Language: |
Anglès |
Document: |
Article ; recerca ; Versió publicada |
Subject: |
Non-doubling measure ;
Doubling balls ;
John-Nirenberg inequality |
Published in: |
Publicacions matemàtiques, Vol. 54, Núm. 2 (2010) , p. 485-504, ISSN 2014-4350 |
Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/191394
DOI: 10.5565/PUBLMAT_54210_10
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Record created 2010-06-15, last modified 2022-11-04