A remark on Besov spaces interpolation over the 2-adic group

preprint2011arXivOpen access

Motivated by a recent result which identifies in the special setting of the 2-adic group the Besov space $\dot{B}^{1,\infty}_{1}(\mathbb{Z}_2)$ with $BV(\mathbb{Z}_2)$ , the space of function of bounded variation, we study in this article some functional relationships between Besov spaces.

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A remark on Besov spaces interpolation over the 2-adic group

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