In this paper we estimate the Sobolev embedding constant on general noncompact Lie groups, for sub-Riemannian inhomogeneous Sobolev spaces endowed with a left invariant measure. The bound that we obtain, up to a constant depending only on the group and its sub-Riemannian structure, reduces to the best known bound for the classical inhomogeneous Sobolev embedding constant on Rd. As an application, we prove local and global Moser–Trudinger inequalities.
The Sobolev embedding constant on Lie groups / Bruno, T.; Peloso, M. M.; Vallarino, M.. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - STAMPA. - 216(2022). [10.1016/j.na.2021.112707]
Titolo: | The Sobolev embedding constant on Lie groups | |
Autori: | ||
Data di pubblicazione: | 2022 | |
Rivista: | ||
Digital Object Identifier (DOI): | http://dx.doi.org/10.1016/j.na.2021.112707 | |
Appare nelle tipologie: | 1.1 Articolo in rivista |
File in questo prodotto:
File | Descrizione | Tipologia | Licenza | |
---|---|---|---|---|
BPV-2022-NonLinAn.pdf | 2a Post-print versione editoriale / Version of Record | Non Pubblico - Accesso privato/ristretto | Administrator Richiedi una copia | |
Revised.pdf | 2. Post-print / Author's Accepted Manuscript | ![]() | Embargo: 06/12/2023 Richiedi una copia |
http://hdl.handle.net/11583/2955958