13 citations · 53 across the 19 of their papers we have counts for
20 papers
Sharp variational, jump and oscillation bounds in a general Gaussian context
Valentina Casarino, Paolo Ciatti, Peter Sjögren
We consider a general, nonsymmetric Ornstein--Uhlenbeck semigroup . We prove an bound for the jump quasi-seminorms for and a weak type…
Weak type (1,1) jump inequalities in a nonsymmetric Gaussian setting
Valentina Casarino, Paolo Ciatti, Peter Sjögren
We prove that the jump quasi-seminorm of order for a general Ornstein--Uhlenbeck semigroup in defines an operator of we…
Boundedness properties of the maximal operator in a nonsymmetric inverse Gaussian setting
Tommaso Bruno, Valentina Casarino, Paolo Ciatti +1
We introduce a generalized inverse Gaussian setting and consider the maximal operator associated with the natural analogue of a nonsymmetric Ornstein--Uhlenbeck semigroup. We prove…
Variational inequalities for the Ornstein--Uhlenbeck semigroup: the higher--dimensional case
Valentina Casarino, Paolo Ciatti, Peter Sjögren
We study the -th order variation seminorm of a general Ornstein--Uhlenbeck semigroup in , taken with respect to . We prov…
On the variation operator for the Ornstein-Uhlenbeck semigroup in dimension one
Valentina Casarino, Paolo Ciatti, Peter Sjögren
Consider the variation seminorm of the Ornstein-Uhlenbeck semigroup in dimension one, taken with respect to . We show that this seminorm defines an operator of weak type $…
Scattered linear sets in a finite projective line and translation planes
Valentina Casarino, Giovanni Longobardi, Corrado Zanella
Lunardon and Polverino construct a translation plane starting from a scattered linear set of pseudoregulus type in . In this paper a similar construction of a t…