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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Weak type estimates for spherical multipliers on noncompact symmetric spaces
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by Stefano Meda and Maria Vallarino PDF
Trans. Amer. Math. Soc. 362 (2010), 2993-3026 Request permission

Abstract:

In this paper we prove sharp weak type $1$ estimates for spherical Fourier multipliers on symmetric spaces of the noncompact type. This complements earlier results of J.-Ph. Anker and A.D. Ionescu.
References
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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
  • 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.
  • © Copyright 2010 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • 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
  • MathSciNet review: 2592944