DOI: 10.1515/acv-2023-0066 ISSN: 1864-8258
A sub-Riemannian maximum modulus theorem
Federico Buseghin, Nicolò Forcillo, Nicola Garofalo- Applied Mathematics
- Analysis
Abstract
In this note we prove a sub-Riemannian maximum modulus theorem in a Carnot group. Using a nontrivial counterexample, we also show that such result is best possible, in the sense that in its statement one cannot replace the right-invariant horizontal gradient with the left-invariant one.