A framework for non-homogeneous analysis on metric spaces, and the RBMO space of Tolsa
Hytönen, Tuomas (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.
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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

20 p, 219.6 KB

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