8 citations · 38 across the 21 of their papers we have counts for
24 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…
Hardy spaces and Riesz transforms on a Lie group of exponential growth
Peter Sjögren, Maria Vallarino
Let be the Lie group endowed with the Riemannian symmetric space structure. Take a distinguished basis of left-invariant vec…
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 $…
On non-centered maximal operators related to a non-doubling and non-radial exponential measure
Adam Nowak, Emanuela Sasso, Peter Sjögren +1
We investigate mapping properties of non-centered Hardy-Littlewood maximal operators related to the exponential measure in . The…
Spectral multipliers in a general Gaussian setting
Valentina Casarino, Paolo Ciatti, Peter Sjögren
We investigate a class of spectral multipliers for an Ornstein-Uhlenbeck operator in , with drift given by a real matrix whose eigenvalues have negati…
On the orthogonality of generalized eigenspaces for the Ornstein--Uhlenbeck operator
Valentina Casarino, Paolo Ciatti, Peter Sjögren
We study the orthogonality of the generalized eigenspaces of an Ornstein--Uhlenbeck operator in , with drift given by a real matrix whose eigenvalues…