[NOVA Math] Seminar of Analysis

The Center of Mathematics and Applications (NOVA Math), promote the Seminar of Analysis with the title: “On a new class of weighted Orlicz-Sobolev spaces and their embeddings”. Pierre-A. Vuillermot (Department of Mathematics, Université de Lorraine) is the speaker.

Abstract: In this talk, I will introduce a new scale of weighted Orlicz-Sobolev spaces and discuss the existence of various continuous and compact embeddings for them. Whereas continuous embeddings are relatively easy to come by, I will show that the way to compactness is more tortuous as it is based on the combination of the existence of a Schauder basis in the spaces under consideration with a condition on the generating Orlicz functions regarding their local behavior at the origin. I will illustrate the results by means of several examples.

May 21, 2025, 14:15 – 15:15, Room 4.7, Building VIII.