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

Diego Chamorro (1)

1 LAP - Laboratoire Analyse et Probabilités

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.

Mots clés: Besov spaces; interpolation; p-adic groups

Domaines: Equations aux dérivées partielles [math.AP]

Diego Chamorro. A remark on Besov spaces interpolation over the 2-adic group. 2011. ⟨hal-00587059⟩