Quadratic forms and Sobolev spaces of fractional order

Kai-Uwe Bux, Moritz Kassmann, Tim Schulze

We study quadratic functionals on $L^2({\mathbb{R}}^d)$ that generate seminorms in the fractional Sobolev space $H^s({\mathbb{R}}^d)$ for $0<s<1$. The functionals under considerati…