P. Sjögren

activity

20082026

most citedRiesz transforms of a general Ornstein--Uhlenbeck semigroup

8 citations · 38 across the 21 of their papers we have counts for

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9 papers · 1 filter

math.FA2026

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 $(H_{t})_{t > 0}$ . We prove an $L^{p}$ bound for the jump quasi-seminorms for $1 < p < \infty$ and a weak type…

math.FA2024

Hardy spaces and Riesz transforms on a Lie group of exponential growth

Peter Sjögren, Maria Vallarino

Let $G$ be the Lie group $R^{2} ⋊ R^{+}$ endowed with the Riemannian symmetric space structure. Take a distinguished basis $X_{0}, X_{1}, X_{2}$ of left-invariant vec…

math.FA2023

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 $H_{t}$ in dimension one, taken with respect to $t$ . We show that this seminorm defines an operator of weak type $…

math.FA2022

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 $L$ in $R^{n}$ , with drift given by a real matrix $B$ whose eigenvalues have negati…

math.FA2021★ 5 cited

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 $L$ in $R^{N}$ , with drift given by a real matrix $B$ whose eigenvalues…

math.FA2020★ 8 cited

Riesz transforms of a general Ornstein--Uhlenbeck semigroup

Valentina Casarino, Paolo Ciatti, Peter Sjögren

We consider Riesz transforms of any order associated to an Ornstein--Uhlenbeck operator $L$ , with covariance $Q$ given by a real, symmetric and positive definite matrix, a…

math.FA2019

On the maximal operator of a general Ornstein-Uhlenbeck semigroup

Valentina Casarino, Paolo Ciatti, Peter Sjögren

If $Q$ is a real, symmetric and positive definite $n \times n$ matrix, and $B$ a real $n \times n$ matrix whose eigenvalues have negative real parts, we consider the Ornstein--Uhlenb…

math.FA2017★ 5 cited

The maximal operator of a normal Ornstein--Uhlenbeck semigroup is of weak type $(1, 1)$

Valentina Casarino, Paolo Ciatti, Peter Sjögren

Consider a normal Ornstein--Uhlenbeck semigroup in $R^{n}$ , whose covariance is given by a positive definite matrix. The drift matrix is assumed to have eigenvalues only in the…

math.FA2010★ 2 cited

Endpoint estimates for first-order Riesz transforms associated to the Ornstein-Uhlenbeck operator

G. Mauceri, S. Meda, P. Sjögren

In the setting of Euclidean space with the Gaussian measure g, we consider all first-order Riesz transforms associated to the infinitesimal generator of the Ornstein-Uhlenbeck semi…

Sharp variational, jump and oscillation bounds in a general Gaussian context

Hardy spaces and Riesz transforms on a Lie group of exponential growth

On the variation operator for the Ornstein-Uhlenbeck semigroup in dimension one

Spectral multipliers in a general Gaussian setting

On the orthogonality of generalized eigenspaces for the Ornstein--Uhlenbeck operator

Riesz transforms of a general Ornstein--Uhlenbeck semigroup

On the maximal operator of a general Ornstein-Uhlenbeck semigroup

The maximal operator of a normal Ornstein--Uhlenbeck semigroup is of weak type (1,1)

Endpoint estimates for first-order Riesz transforms associated to the Ornstein-Uhlenbeck operator

The maximal operator of a normal Ornstein--Uhlenbeck semigroup is of weak type $(1, 1)$