Archivio Istituzionale della RicercaEvery graph of bounded degree endowed with the counting measure satisfies a local version of L-p-Poincare inequality, p is an element of [1, infinity]. We show that on graphs which are trees the Poincare constant grows at least exponentially with the radius of balls. On the other hand, we prove that, surprisingly, trees endowed with a flow measure support a global version of L-p-Poincare inequality, despite the fact that they are nondoubling measures of exponential growth.
Poincaré inequalities on graphs / Levi, M.; Santagati, F.; Tabacco, A.; Vallarino, M.. - In: ANALYSIS MATHEMATICA. - ISSN 0133-3852. - 49:2(2023), pp. 529-544. [10.1007/s10476-023-0215-5]
Poincaré inequalities on graphs
Tabacco A.;Vallarino M.
2023
Abstract
Every graph of bounded degree endowed with the counting measure satisfies a local version of L-p-Poincare inequality, p is an element of [1, infinity]. We show that on graphs which are trees the Poincare constant grows at least exponentially with the radius of balls. On the other hand, we prove that, surprisingly, trees endowed with a flow measure support a global version of L-p-Poincare inequality, despite the fact that they are nondoubling measures of exponential growth.
| File | Dimensione | Formato | |
|---|---|---|---|
|
Poincaré-13-12-22.pdf
Open Access dal 01/04/2024
Tipologia:
2. Post-print / Author's Accepted Manuscript
Licenza:
Creative commons
Dimensione
387.77 kB
Formato
Adobe PDF
|
387.77 kB | Adobe PDF | Visualizza/Apri |
|
s10476-023-0215-5.pdf
non disponibili
Tipologia:
2a Post-print versione editoriale / Version of Record
Licenza:
Non Pubblico - Accesso privato/ristretto
Dimensione
223.54 kB
Formato
Adobe PDF
|
223.54 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/11583/2982605