On groups of Hölder diffeomorphisms and their regularity

David Nicolas Nenning, Armin Rainer

We study the set ${\mathcal{D}}^{n,\beta }({\mathbb{R}}^d)$ of orientation preserving diffeomorphisms of ${\mathbb{R}}^d$ which differ from the identity by a Hölder $C_0^{n,\beta }$-mapping, where $n…