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arXiv · 0909.3231

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

Tuomas P. Hytönen
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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 (R^n,mu) with mu(B(x,r))<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.

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Tuomas P. Hytönen. 2009-09-17. A framework for non-homogeneous analysis on metric spaces, and the RBMO space of Tolsa. https://arxiv.org/abs/0909.3231

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