room: A1-33, godz. 10:30–12:00

Dorothee Haroske (F.Schiller University, Jena)
Function spaces on h-sets

Summary. Abstract: We study (weighted) spaces of Sobolev and Besov type with respect to their traces on fractal h-sets. We report on results obtained jointly with Antonio Caetano (Aveiro/Portugal) concerning the existence of traces, density of test functions supported outside the fractal set (the so-called dichotomy), embeddings and growth envelopes. Naturally, the weight parameters and the geometry of the underlying sets have strong influence on all these phenomena.

The lecture is organized by the Department of Real Functions Theory.

Tea and coffee at 10:00.