A framework for non-homogeneous analysis on metric spaces, and the RBMO space of Tolsa
By Tuomas Hytönen. 2009
73 citations recorded by the source corpus.
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.
Subfields: Applied Mathematics, Astronomy and Astrophysics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/b3dc998b84f132ac06195649bf5af41d226879c3
How researchers see this paper
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In Applied Mathematics
- Dongyong Yang
- Dachun Yang
- Tuomas Hytönen
- Wen Yuan
- Andrei K. Lerner
- Michael T. Lacey
- Xuan Thinh Duong
- Yuan Zhou
In Astronomy and Astrophysics
In Mathematical Physics
- Dongyong Yang
- Dachun Yang
- Tuomas Hytönen
- Wen Yuan
- Yuan Zhou
- Luong Dang Ky
- D. Cruz-Uribe
- Yoshihiro Sawano
Citations in the corpus
- The Hardy space H1 on non-homogeneous metric spaces (2010, methodology): “In [6, lemma 2·3], Hytönen showed that the following statements are mutually equivalent: (i) (X , d) is geometrically doubling;”