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.
Annalisa Baldi, Francescopaolo Montefalcone (2023). A density result on a BV-type space on Carnot groups. BRUNO PINI MATHEMATICAL ANALYSIS SEMINAR, 14(2), 42-55 [10.6092/issn.2240-2829/18848].
A density result on a BV-type space on Carnot groups
Annalisa Baldi
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2023
Abstract
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.| File | Dimensione | Formato | |
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