Variational inequalities for the Ornstein--Uhlenbeck semigroup: the higher--dimensional case

Valentina Casarino, Paolo Ciatti, Peter Sjögren

We study the $\varrho$-th order variation seminorm of a general Ornstein--Uhlenbeck semigroup ${\left({\mathcal{H}}_t\right)}_{t>0}$ in ${\mathbb{R}}^n$, taken with respect to $t$. We prov…