On the variation operator for the Ornstein–Uhlenbeck semigroup in dimension one
Artikel i vetenskaplig tidskrift, 2024
Consider the variation seminorm of the Ornstein–Uhlenbeck semigroup Ht in dimension one, taken with respect to t. We show that this seminorm defines an operator of weak type (1, 1) for the relevant Gaussian measure. The analogous Lp estimates for 1 < p< ∞ were already known.
Variation seminorm
Ornstein–Uhlenbeck semigroup
Mehler kernel
Författare
VALENTINA CASARINO
Università di Padova
PAOLO CIATTI
Università di Padova
Peter Sjögren
Chalmers, Matematiska vetenskaper
Göteborgs universitet
Annali di Matematica Pura ed Applicata
0373-3114 (ISSN) 1618-1891 (eISSN)
Vol. 203 205-219Ämneskategorier
Algebra och logik
Beräkningsmatematik
Sannolikhetsteori och statistik
Matematisk analys
DOI
10.1007/s10231-023-01358-3