Peter Sjögren
Professor emeritus at
Chalmers, Mathematical Sciences
Peter Sjögren is the leader of the research group in Harmonic Analysis and Partial Differential Equations, and he works with partners in several countries. His research deals mostly with harmonic analysis in settings given by orthogonal polynomials and orthogonal expansions, often classical ones. The idea is to describe physical and other phenomena, described by partial differential equations, in situations where classical Fourier analysis is not adequate. He is an editor of the journal Arkiv för matematik. A large part of his teaching concerns basic Fourier analysis.
Source: chalmers.se
Showing 39 publications
2019
Sharp estimates of the spherical heat kernel
Adam Nowak, Peter Sjögren, Tomasz Z. Szarek
Journal des Mathematiques Pures et Appliquees. Vol. 129, p. 23-33
Journal article
2019
Analysis in the multi-dimensional ball
Peter Sjögren, Tomasz Z. Szarek
Mathematika. Vol. 65, p. 190-212
Journal article
2017
Maximal operators of exotic and non-exotic Laguerre and other semigroups associated with classical orthogonal expansions
Adam Nowak, Peter Sjögren, Tomasz Z. Szarek
Advances in Mathematics. Vol. 318, p. 307-354
Journal article
2017
The maximal operator of a normal Ornstein--Uhlenbeck semigroup is of weak type (1,1).
Valentina Casarino, Paolo Ciatti, Peter Sjögren
Preprint
2017
Weak Type (1,1) Bounds for Some Operators Related to the Laplacian with Drift on Real Hyperbolic Spaces
H. Q. Li, Peter Sjögren
Potential Analysis. Vol. 46 (3), p. 463-484
Journal article
2017
Sharp endpoint estimates for some operators associated with the Laplacian with drift in Euclidean space.
Hong-Quan Li, Peter Sjögren
Preprint
2017
On the global Gaussian Lipschitz space
Liguang Liu, Peter Sjögren
Proceedings of the Edinburgh Mathematical Society. Vol. 60 (3), p. 707-720
Journal article
2016
Weak type (1,1) of some operators for the Laplacian with drift
Hong-Quan Li, Peter Sjögren, Yurong Wu
Mathematische Zeitschrift. Vol. 282 (3), p. 623-633
Journal article
2016
A characterization of the Gaussian Lipschitz space and sharp estimates for the Ornstein-Uhlenbeck Poisson kernel
Liguang Liu, Peter Sjögren
Revista Matematica Iberoamericana. Vol. 32 (4), p. 1189--1210-
Journal article
2015
Weak type (1, 1) for some operators related to the Laplacian with drift on real hyperbolic spaces
Hong-Quan Li, Peter Sjögren
, p. 25-
Report
2015
Analysis related to all admissible type parameters in the Jacobi setting
Adam Nowak, Peter Sjögren, Tomasz Z. Szarek
Constructive Approximation. Vol. 41 (2), p. 185-218
Journal article
2015
Wave extension problem for the fractional Laplacian
Peter Sjögren, Peter Sjögren, Mikko Kemppainen
Discrete and Continuous Dynamical Systems. Vol. 35 (10), p. 4905-4929
Journal article
2014
Bounds for maximal functions associated with rotational invariant measures in high dimensions
Alberto Criado, Peter Sjögren
Journal of Geometric Analysis. Vol. 24 (2), p. 595-612
Journal article
2013
A maximal function characterization of the Hardy space for the Gauss measure
Giancarlo Mauceri, Stefano Meda, Peter Sjögren
Proceedings of the American Mathematical Society. Vol. 141 (5), p. 1679-1692
Journal article
2013
Sharp estimates of the Jacobi heat kernel
Adam Nowak, Peter Sjögren
Studia Mathematica. Vol. 218 (3), p. 219-244
Journal article
2012
Calderón-Zygmund operators related to Jacobi expansions
Adam Nowak, Peter Sjögren
Journal of Fourier Analysis and Applications. Vol. 18 (4), p. 717-749
Journal article
2012
Heat maximal function on a Lie group of exponential growth
Peter Sjögren, Maria Vallarino
Annales Academiae Scientiarum Fennicae Mathematica. Vol. 37 (2), p. 491-507
Journal article
2012
Endpoint estimates for first-order Riesz transforms associated to the Ornstein--Uhlenbeck operator
Giancarlo Mauceri, Stefano Meda, Peter Sjögren
Revista Matematica Iberoamericana. Vol. 28 (1), p. 77-91
Journal article
2010
On the boundary convergence of solutions to the Hermite-Schrödinger equation
Peter Sjögren, José Luis Torrea
Colloquium Mathematicum. Vol. 118, p. 161-174
Journal article
2009
The Multi-Dimensional Pencil Phenomenon for Laguerre Heat-Diffusion Maximal Operators
Adam Nowak, Peter Sjögren
Mathematische Annalen. Vol. 344 (1), p. 213-248
Journal article
2009
Atomic decompositions and operators on Hardy spaces
Stefano Meda, Peter Sjögren, Maria Vallarino
Revista de la Union Matematica Argentina. Vol. 50 (2), p. 15-22
Journal article
2008
Boundedness from H1 to L1 of Riesz Transforms on a Lie Group of Exponential Growth
Peter Sjögren, Maria Vallarino
Annales de lInstitut Fourier. Vol. 58, p. 1117-1151
Journal article
2008
On the H^1 - L^1 bundedness of operators
Stefano Meda, Peter Sjögren, Maria Vallarino
Proceedings of the American Mathematical Society. Vol. 136, p. 2921-2931
Journal article
2008
Riesz transforms for Jacobi expansions
Adam Nowak, Peter Sjögren
Journal dAnalyse Mathematique. Vol. 104 (1), p. 341-369
Journal article
2007
Weak type (1, 1) estimates for maximal operators associated with various multi-dimensional systems of Laguerre functions
Adam Nowak, Peter Sjögren
Indiana Univ. Math. J.. Vol. 56, p. 417--436-
Journal article
2006
Sharp estimates for the Ornstein-Uhlenbeck operator.
Giancarlo Mauceri, Stefano Meda, Peter Sjögren
Ann. Scuola Norm. Sup. Pisa Cl. Sci. (5). Vol. III, p. 447--480-
Journal article
2006
Maximal operators related to the Ornstein-Uhlenbeck semigroup with complex time parameter
Peter Sjögren
Journal of Functional Analysis. Vol. 237 (2), p. 675-688
Journal article
2004
Boundedness of some Riesz operators on the NA group of SL(3,C)
Jean-Philippe Anker, Garth Gaudry, Peter Sjögren
Preprint
2004
Sharp estimates for the non-centered maximal operator associated to Gaussian and other radial measures
Peter Sjögren, Fernando Soria
Adv. Math.. Vol. 181, p. 251-275
Journal article
2003
Maximal operators for the holomorphic Ornstein-Uhlenbeck semigroup
Jose Garcia-Cuerva, Giancarlo Mauceri, Stefano Meda et al
J. London Math. Soc. (2). Vol. 67, p. 219-234
Journal article
2002
On the Lp boundedness of the non-centered Gaussian Hardy-Littewood maximal function
Liliana Forzani, Roberto Scotto, Peter Sjögren et al
Proc. Amer. Math. Soc.. Vol. 130, p. 73-79
Journal article
2001
Functional calculus for the Ornstein-Uhlenbeck operator
José García-Cuerva, Giancarlo Mauceri, Stefano Meda et al
J. Funct. Anal.. Vol. 183, p. 413-450
Journal article
1999
An estimate for a first-order Riesz operator on the affine group
Peter Sjögren
Trans. Amer. Math. Soc.. Vol. 351, p. 3301-3314
Journal article
1999
Spectral multipliers for the Ornstein-Uhlenbeck semigroup
J. García-Guerva, Giancarlo Mauceri, Peter Sjögren et al
J. d'Analyse Math.. Vol. 78, p. 281-305
Journal article
1999
Higher-order Riesz operators for the Ornstein-Uhlenbeck semigroup
José Garcia-Cuerva, Giancarlo Mauceri, Peter Sjögren et al
Potential Anal.. Vol. 10, p. 379-407
Journal article
1997
Approach regions for the square root of the Poisson kernel and bounded functions
Peter Sjögren
Bull. Austral. Math. Soc.. Vol. 55, p. 521-527
Journal article
1997
Operators associated with the Hermite semigroup - a survey
Peter Sjögren
J. Fourier Anal. Appl. 3, Special issue. Vol. 3, p. 813-823
Paper in proceedings
1983
On the maximal function for the Mehler kernel
Peter Sjögren
Harmonic Analysis, Proceedings, Cortona 1982. Springer Lecture Notes in Mathematics 992. Vol. 992, p. 73-82
Journal article
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