The extended Sobolev scale for vector bundles

24.11.2017, 10:30 Uhr  –  Haus 9, Raum 2.22
Arbeitsgruppenseminar Analysis

Tetiana Zinchenko (Chernihiv, Ukraine)

Elliptic theory on compact closed manifolds is usually developed in the scale of Sobolev spaces $H^s(\Gamma, V)$, where $V$ is a smooth vector bundle over $\Gamma$ and $s$ is a real number. Some parts of the elliptic theory require a more refined scale of function spaces. These spaces are obtained from the Sobolev ones by interpolation with functional parameter, to wit, $H^\varphi (\Gamma, V)$ . The talk is devoted to discussion of these interpolation spaces and elliptic operators between them.