Fractional Besov-Sobolev Spaces on Chord-arc Curves

Huaying Wei, Michel Zinsmeister

Let $\Gamma$ be a bounded rectifiable Jordan curve, with complementary domains ${\Omega }_i$ and ${\Omega }_e$. For $1<p<\infty$ and $0<s<1$, we study the spaces ${\mathcal{B}}_{p,p}^s(\Omega )$ of harmonic fun…