Weak type estimates for spherical multipliers on noncompact symmetric spaces
Authors:
Stefano Meda and Maria Vallarino
Journal:
Trans. Amer. Math. Soc. 362 (2010), 2993-3026
MSC (2000):
Primary 42B15, 53C35, 32A55
DOI:
https://doi.org/10.1090/S0002-9947-10-05082-8
Published electronically:
January 4, 2010
MathSciNet review:
2592944
Full-text PDF
Abstract | References | Similar Articles | Additional Information
Abstract: In this paper we prove sharp weak type estimates for spherical Fourier multipliers on symmetric spaces of the noncompact type. This complements earlier results of J.-Ph. Anker and A.D. Ionescu.
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Additional Information
Stefano Meda
Affiliation:
Dipartimento di Matematica e Applicazioni, Università di Milano-Bicocca, via R. Cozzi 53, 20125 Milano, Italy
Email:
stefano.meda@unimib.it
Maria Vallarino
Affiliation:
Laboratoire de Mathématiques et Applications, Physique Mathématiques d’Orléans, Université d’Orléans, UFR Sciences, Bâtiment de Mathématique-Route de Chartres, B.P. 6759, 45067 Orléans cedex 2, France
Address at time of publication:
Dipartimento di Matematica e Applicazioni, Università di Milano-Bicocca, via R. Cozzi 53, 20125 Milano, Italy
Email:
maria.vallarino@unimib.it
DOI:
https://doi.org/10.1090/S0002-9947-10-05082-8
Received by editor(s):
February 14, 2008
Published electronically:
January 4, 2010
Additional Notes:
This work was partially supported by the Italian Progetto PRIN “Analisi Armonica” 2007–2008.
Article copyright:
© Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.