Morrey–Campanato functional spaces for Carnot groups

Abstract We shortly review the historical path of Morrey–Campanato functional spaces and the fundamentals of Carnot groups. Then, we merge these two topics, by recovering several classical results concerning regularity of Morrey–Campanato spaces in the framework of Carnot groups.

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Publication Details

Journal
Banach Journal of Mathematical Analysis
Published
2025-04-01
DOI
https://doi.org/10.1007/s43037-025-00420-x
Primary Topic
Geometric Analysis and Curvature Flows
Type
article
Field-Weighted Citation Impact
0.00

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article

Morrey–Campanato functional spaces for Carnot groups

Nicolò Cangiotti, Marco Capolli
Banach Journal of Mathematical Analysis
Geometric Analysis and Curvature Flows
article

Morrey–Campanato functional spaces for Carnot groups

Nicolò Cangiotti, Marco Capolli
article en

Abstract

Abstract We shortly review the historical path of Morrey–Campanato functional spaces and the fundamentals of Carnot groups. Then, we merge these two topics, by recovering several classical results concerning regularity of Morrey–Campanato spaces in the framework of Carnot groups.

Banach Journal of Mathematical AnalysisVol. 19(2)
University of Padua (IT), Politecnico di Milano (IT)
European Commission, Ministero dell’Istruzione, dell’Università e della Ricerca, Università degli Studi di Padova, Politecnico di Milano, Instytut Matematyczny, Polskiej Akademii Nauk
Openalex Percentile: Top 90%
Geometric Analysis and Curvature Flows
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