On the Maz'ya-Shaposhnikova formula in Orlicz-Sobolev spaces on Carnot groups

On the Maz'ya-Shaposhnikova formula in Orlicz-Sobolev spaces on Carnot groups

In this note we study the limit as $s\downarrow 0$ of fractional Orlicz-Sobolev seminorms in Carnot groups. This closes the study started in [10]

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Hauptverfasser: Capolli, Marco, Maione, Alberto, Salort, Ariel Martin, Vecchi, Eugenio
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Functional Analysis
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Zusammenfassung:In this note we study the limit as $s\downarrow 0$ of fractional Orlicz-Sobolev seminorms in Carnot groups. This closes the study started in [10]
DOI:10.48550/arxiv.2003.13082