In publica commoda

Veranstaltung


FUNCTION SPACES ON LIE GROUPS

Titel der Veranstaltung FUNCTION SPACES ON LIE GROUPS
Reihe KolloquiumGRK
Veranstalter Fakultät für Mathematik und Informatik
Referent/in Dr. Maria Vallarino
Einrichtung Referent/in Politecnico di Torino
Veranstaltungsart Kolloquium
Kategorie Forschung
Anmeldung erforderlich Nein
Beschreibung We will first recall the definition of Sobolev spaces in the Euclidean setting and focus on some of their properties. In particular we will concentrate on their algebra properties and on embedding results. We shall then introduce the notion of Sobolev spaces on nonuni-modular noncompact Lie groups associated with subLaplacians (possibly with drift). We shall investigate whether the properties of the classical Sobolev spaces hold in this general setting. The affine group of the real line will be considered in details, as a model for the general case, in order to make the presentation accessible. Similar problems can be considered for Besov and Triebel–Lizorkin spaces on Lie groups.
This is based on joint works with Tommaso Bruno, Marco Peloso and Anita Tabacco.
Politecnico di Torino
E-mail address: maria.vallarino@polito.it
Zeit Beginn: 04.02.2021, 16:15 Uhr
Ende: 04.02.2021 , 17:15 Uhr
Ort Mathematisches Institut (Bunsenstr 3-5)
Online
https://uni-goettingen.zoom.us/j/91336854872
Kontakt 0551/39.27752
linda.cassel@mathematik.uni-goettingen.de