We prove an optimal embedding result for the domains of Kolmogorov (or degenerate hypoelliptic Ornstein--Uhlenbeck) operators in L^2 spaces with respect to invariant measures. We use an interpolation method together with optimal L^2 estimates for the space derivatives of T(t)f near t=0, where T(t) is the Ornstein--Uhlenbeck semigroup and f is any function in L^2.
Invariant measures and maximal L^2 regularity for nonautonomous Ornstein-Uhlenbeck equations / Geissert, M; Lunardi, Alessandra. - In: JOURNAL OF THE LONDON MATHEMATICAL SOCIETY. - ISSN 0024-6107. - 77:(2008), pp. 719-740. [10.1112/jlms/jdn009]
Invariant measures and maximal L^2 regularity for nonautonomous Ornstein-Uhlenbeck equations
LUNARDI, Alessandra
2008-01-01
Abstract
We prove an optimal embedding result for the domains of Kolmogorov (or degenerate hypoelliptic Ornstein--Uhlenbeck) operators in L^2 spaces with respect to invariant measures. We use an interpolation method together with optimal L^2 estimates for the space derivatives of T(t)f near t=0, where T(t) is the Ornstein--Uhlenbeck semigroup and f is any function in L^2.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
J London Math Soc -vol 77(2) 719-740.pdf
non disponibili
Tipologia:
Documento in Post-print
Licenza:
NON PUBBLICO - Accesso privato/ristretto
Dimensione
3.52 MB
Formato
Adobe PDF
|
3.52 MB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
