Orlicz-Besov imbedding and globally $n$-regular domains

Hongyan Sun

Denote by ${\dot{\mathbf{B}}}^{\alpha ,\varphi }(\Omega )$ the Orlicz-Besov space, where $\alpha \in \mathbb{R}$, $\varphi$ is a Young function and $\Omega \subset {\mathbb{R}}^n$ is a domain. For $\alpha \in (-n,0)$ and optimal $\varphi$,…