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arXiv · 0707.2952

Advanced topology on the multiscale sequence spaces S^ν

Jean-Marie Aubry·Françoise Bastin
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Abstract

We pursue the study of the multiscale spaces $S^ν$ introduced by Jaffard in the context of multifractal analysis. We give the necessary and sufficient condition for $S^ν$ to be locally p-convex, and exhibit a sequence of $p$-norms that defines its natural topology. The strong topological dual of $S^ν$ is identified to another sequence space depending on $ν$, endowed with an inductive limit topology. As a particular case, we describe the dual of a countable intersection of Besov spaces.

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Jean-Marie Aubry, Françoise Bastin. 2007-11-21. Advanced topology on the multiscale sequence spaces S^ν. https://arxiv.org/abs/0707.2952

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