Data wydarzenia:

Nuclear embeddings in function spaces – some recent results

Data: wtorek, 28.02.2023, godz. 11:30-12:30

Prelegent: prof. Dorothee Haroske (Friedrich Schiller University Jena, Germany)

Abstrakt:  We study nuclear embeddings for spaces of Besov and Triebel-Lizorkin type. We present some recent results in weighted spaces, smoothness Morrey spaces, spaces on quasi-bounded domains, spaces of generalised smoothness and, finally, concerning the behaviour of the Fourier transform in such spaces. Here we can extend previous findings about the compactness of corresponding embeddings. The concept of nuclearity goes back to Grothendieck (1955) and was the basis for many fundamental developments in functional analysis. Essential tools in our arguments are a discretisation in terms of wavelet bases, operator ideal techniques, as well as a very useful result of Tong (1969) about the nuclearity of diagonal operators acting in sequence spaces.

This is joint work with Leszek Skrzypczak (Adam Mickiewicz University Poznań, Poland), Hans-Gerd Leopold (Friedrich Schiller University Jena, Germany), Susana Moura (University of Coimbra, Portugal), and Hans Triebel (Friedrich Schiller University Jena, Germany).

Miejsce: Aula B