Orlicz-Besov extension and Ahlfors $n$-regular domains

Tian Liang, Yuan Zhou

Let $n\ge 2$ and $ϕ: [0,\fz) \to [0,\infty)$ be a Young's function satisfying ${\sup }_{x>0}{\int }_0^1\frac{\varphi (tx)}{\varphi (x)}\frac{dt}{t^{n+1}}<\infty .$ We show that Ahlfors $n$-regular…