$L^{p}$-boundedness of oscillating spectral multipliers on Riemannian manifolds

Michel Marias

doi:10.5802/ambp.171

L^{p}

-boundedness of oscillating spectral multipliers on Riemannian manifolds

Michel Marias ¹

¹ Department of Mathematics Aristotle University of Thessaloniki Thessaloniki, 54.124 Greece

Annales mathématiques Blaise Pascal, Tome 10 (2003) no. 1, pp. 133-160.

Résumé

We prove endpoint estimates for operators given by oscillating spectral multipliers on Riemannian manifolds with $C^{\infty}$ -bounded geometry and nonnegative Ricci curvature.

MR Zbl

DOI : 10.5802/ambp.171

Classification : 58G03
Mots clés : spectral multipliers, wave equation, Riesz means

Affiliations des auteurs :

Michel Marias ¹

¹ Department of Mathematics Aristotle University of Thessaloniki Thessaloniki, 54.124 Greece

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Michel Marias. $L^{p}$-boundedness of oscillating spectral multipliers on Riemannian manifolds. Annales mathématiques Blaise Pascal, Tome 10 (2003) no. 1, pp. 133-160. doi : 10.5802/ambp.171. https://ambp.centre-mersenne.org/articles/10.5802/ambp.171/

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