A density result on a BV-type space on Carnot groups

Autor: Annalisa Baldi, Francescopaolo Montefalcone
Jazyk: English<br />Italian
Rok vydání: 2024
Předmět:
Zdroj: Bruno Pini Mathematical Analysis Seminar, Vol 14, Iss 2, Pp 42-55 (2024)
Druh dokumentu: article
ISSN: 2240-2829
DOI: 10.6092/issn.2240-2829/18848
Popis: In the setting of Carnot groups (connected, simply connected and stratified Lie groups), we prove a density result for a BV-type space previously introduced in [3]. In addition, we relate the dual of this BV-type space with the dual of the well known space of functions of intrinsic bounded variation. These results extend to the setting of Carnot groups some properties studied by Phuc e Torres in [22] and [23] in the Euclidean setting.
Databáze: Directory of Open Access Journals