Weak type estimates for spherical multipliers on noncompact symmetric spaces

Meda, Stefano; Vallarino, Maria

doi:10.1090/S0002-9947-10-05082-8

Weak type estimates for spherical multipliers on noncompact symmetric spaces
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by Stefano Meda and Maria Vallarino

Trans. Amer. Math. Soc. 362 (2010), 2993-3026

DOI: https://doi.org/10.1090/S0002-9947-10-05082-8

Published electronically: January 4, 2010

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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.

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