8 citations · 38 across the 21 of their papers we have counts for
14 papers · 1 filter
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…
Genuinely sharp heat kernel estimates on compact rank-one symmetric spaces, for Jacobi expansions, on a ball and on a simplex
Adam Nowak, Peter Sjögren, Tomasz Z. Szarek
We prove genuinely sharp two-sided global estimates for heat kernels on all compact rank-one symmetric spaces. This generalizes the authors' recent result obtained for a Euclidean…
Sharp endpoint estimates for some operators associated with the Laplacian with drift in Euclidean space
Hong-Quan Li, Peter Sjögren
Let be a vector in . Consider the Laplacian on with drift and the measure , with respect t…
Maximal operators of exotic and non-exotic Laguerre and other semigroups associated with classical orthogonal expansions
Adam Nowak, Peter Sjögren, Tomasz Z. Szarek
Classical settings of discrete and continuous orthogonal expansions, like Laguerre, Bessel and Jacobi, are associated with second order differential operators playing the role of t…
On the global Gaussian Lipschitz space
Liguang Liu, Peter Sjögren
A Lipschitz space is defined in the Ornstein-Uhlenbeck setting, by means of a bound for the gradient of the Ornstein-Uhlenbeck Poisson integral. This space is then characterized wi…
A characterization of the Gaussian Lipschitz space and sharp estimates for the Ornstein-Uhlenbeck Poisson kernel
Liguang Liu, Peter Sjögren
The Gaussian Lipschitz space was defined by Gatto and Urbina, by means of the Ornstein-Uhlenbeck Poisson kernel. We give a characterization of this space in terms of a combination…
Analysis related to all admissible type parameters in the Jacobi setting
Adam Nowak, Peter Sjögren, Tomasz Z. Szarek
We derive an integral representation for the Jacobi-Poisson kernel valid for all admissible type parameters in the context of Jacobi expansions. This enables us to develop a…
Bounds for maximal functions associated to rotational invariant measures in high dimensions
Alberto Criado, Peter Sjögren
In recent articles it was proved that when is a finite, radial measure in with a bounded, radially decreasing density, the norm of the associated maximal ope…
Sharp estimates of the Jacobi heat kernel
Adam Nowak, Peter Sjögren
The heat kernel associated with the setting of the classical Jacobi polynomials is defined by an oscillatory sum which cannot be computed explicitly, in contrast to the situation f…
Heat maximal function on a Lie group of exponential growth
Peter Sjögren, Maria Vallarino
Let G be the Lie group R^2\rtimes R^+ endowed with the Riemannian symmetric space structure. Let X_0, X_1, X_2 be a distinguished basis of left-invariant vector fields of the Lie a…
Calderón-Zygmund operators related to Jacobi expansions
Adam Nowak, Peter Sjögren
We study several fundamental operators in harmonic analysis related to Jacobi expansions, including Riesz transforms, imaginary powers of the Jacobi operator, the Jacobi-Poisson se…
Riesz transforms for Jacobi expansions
Adam Nowak, Peter Sjögren
We define and study Riesz transforms and conjugate Poisson integrals associated with multi-dimensional Jacobi expansions.
The multi-dimensional pencil phenomenon for Laguerre heat-diffusion maximal operators
Adam Nowak, Peter Sjögren
We investigate in detail the mapping properties of the maximal operator associated with the heat-diffusion semigroup corresponding to expansions with respect to multi-dimensional s…
On the H^1-L^1 boundedness of operators
S. Meda, P. Sjogren, M. Vallarino
We prove that if q is in (1,\infty), Y is a Banach space and T is a linear operator defined on the space of finite linear combinations of (1,q)-atoms in R^n which is uniformly boun…