In the paper we prove two inequalities in the setting of RCD(K, ∞) spaces using similar techniques. The first one is an indeterminacy estimate involving the p-Wasserstein distance between the positive part and the negative part of an L∞ function and the measure of the interface between the positive part and the negative part. The second one is a conjectured lower bound on the p-Wasserstein distance between the positive and negative parts of a Laplace eigenfunction.
Indeterminacy estimates, eigenfunctions and lower bounds on Wasserstein distances
De Ponti, Nicolò;Farinelli, Sara
2022-01-01
Abstract
In the paper we prove two inequalities in the setting of RCD(K, ∞) spaces using similar techniques. The first one is an indeterminacy estimate involving the p-Wasserstein distance between the positive part and the negative part of an L∞ function and the measure of the interface between the positive part and the negative part. The second one is a conjectured lower bound on the p-Wasserstein distance between the positive and negative parts of a Laplace eigenfunction.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
DePonti-Farinelli2022_Article_IndeterminacyEstimatesEigenfun.pdf
Accesso riservato
:
Publisher’s version
Dimensione
364.29 kB
Formato
Adobe PDF
|
364.29 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
