13 citations · 41 across the 18 of their papers we have counts for
22 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 heat kernel of the Rumin complex and Calderón reproducing formula
Paolo Ciatti, Bruno Franchi, Yannick Sire
We derive several properties of the heat equation with the Hodge operator associated with the Rumin complex on Heisenberg groups and prove several properties of the fundamental sol…
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 $…