Archivio Istituzionale della RicercaWe investigate the possibility of improving the p-Poincare inequality parallel to on the hyperbolic space, where p > 1. We prove several different, and independent, improved inequalities, one of which is a Poincare-Hardy inequality, namely an improvement of the best p-Poincare inequality in terms of the Hardy weight 1/r^p, r being geodesic distance from a given pole. Certain Hardy-Mazya type inequalities in the Euclidean half-space are also obtained.
Improved Lp-Poincaré inequalities on the hyperbolic space / Berchio, Elvise; D'Ambrosio, Lorenzo; Ganguly, Debdip; Grillo, Gabriele. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - 157:(2017), pp. 146-166. [10.1016/j.na.2017.03.016]
Improved Lp-Poincaré inequalities on the hyperbolic space
BERCHIO, ELVISE;
2017
Abstract
We investigate the possibility of improving the p-Poincare inequality parallel to on the hyperbolic space, where p > 1. We prove several different, and independent, improved inequalities, one of which is a Poincare-Hardy inequality, namely an improvement of the best p-Poincare inequality in terms of the Hardy weight 1/r^p, r being geodesic distance from a given pole. Certain Hardy-Mazya type inequalities in the Euclidean half-space are also obtained.
| File | Dimensione | Formato | |
|---|---|---|---|
|
20170304_p_Laplacian.pdf
accesso aperto
Descrizione: Articolo principale
Tipologia:
1. Preprint / submitted version [pre- review]
Licenza:
Pubblico - Tutti i diritti riservati
Dimensione
579.19 kB
Formato
Adobe PDF
|
579.19 kB | Adobe PDF | Visualizza/Apri |
|
1-s2.0-S0362546X17301013-main (3).pdf
accesso riservato
Descrizione: Articolo principale
Tipologia:
2a Post-print versione editoriale / Version of Record
Licenza:
Non Pubblico - Accesso privato/ristretto
Dimensione
768.51 kB
Formato
Adobe PDF
|
768.51 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
https://hdl.handle.net/11583/2675840
Attenzione
Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo