06.06.2023, 15 Uhr
Phenomena in High Dimensions
Pierre Youssef (New York University, Abu Dhabi)
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.