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 / T. Bruno, M.M. Peloso, M. Vallarino. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - 216:(2022 Mar), pp. 112707.1-112707.17. [10.1016/j.na.2021.112707]
The Sobolev embedding constant on Lie groups
M.M. Peloso
Penultimo
;
2022
Abstract
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.File | Dimensione | Formato | |
---|---|---|---|
1-s2.0-S0362546X21002790-main.pdf
accesso riservato
Tipologia:
Publisher's version/PDF
Dimensione
761.44 kB
Formato
Adobe PDF
|
761.44 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
2006.07056.pdf
accesso aperto
Descrizione: file da arXiv
Tipologia:
Pre-print (manoscritto inviato all'editore)
Dimensione
256.33 kB
Formato
Adobe PDF
|
256.33 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.