Calculus of Variations and Geometric Measure Theory

N. Cangiotti - M. Capolli

Morrey-Campanato functional spaces for Carnot groups

created by cangiotti on 05 Dec 2023
modified on 09 Apr 2025

[BibTeX]

Published Paper

Inserted: 5 dec 2023
Last Updated: 9 apr 2025

Journal: Banach J. Math. Anal.
Volume: 19
Pages: Article 31
Year: 2025
Doi: https://doi.org/10.1007/s43037-025-00420-x

ArXiv: 2312.01111 PDF
Links: Open access published version

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.

Keywords: Carnot group, Morrey–Campanato spaces, Functional spaces