3 papers
math.FA2026
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…
math.FA2025
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…
math.FA2025
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…