Fractional Besov-Sobolev Spaces on Quasicircles

Huaying Wei, Michel Zinsmeister

Let $\Gamma$ be a bounded Jordan curve and ${\Omega }_i,{\Omega }_e$ its two complementary components. For $p\in (1,\infty ),s\in (0,1)$ we define the two spaces ${\mathcal{B}}_{p,p}^s({\Omega }_{i,e})$ as the…