A framework for non-homogeneous analysis on metric spaces, and the RBMO space of Tolsa
Hytönen, Tuomas
Publ. Mat., Tome 54 (2010) no. 2, p. 485-504 / Harvested from Project Euclid
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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 $(\mathbb{R}^n,\mu)$ with $\mu(B(x,r))\leq Cr^d$, 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.
Publié le : 2010-05-15
Classification:  Non-doubling measure,  doubling balls,  John-Nirenberg inequality,  30L99,  42B35 
@article{1277731543,
     author = {Hyt\"onen, Tuomas},
     title = {A framework for non-homogeneous analysis on metric spaces, and the RBMO space of Tolsa},
     journal = {Publ. Mat.},
     volume = {54},
     number = {2},
     year = {2010},
     pages = { 485-504},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1277731543}
}

Hytönen, Tuomas. A framework for non-homogeneous analysis on metric spaces, and the RBMO space of Tolsa. Publ. Mat., Tome 54 (2010) no. 2, pp.  485-504. http://gdmltest.u-ga.fr/item/1277731543/