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A Bochner-Riesz result for a cone

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Abstract

In this paper we use the curvature and torsion of a curve inR 3, together with a standard argument to give a near optimal result for the Bochner-Riesz problem for certain conical hypersurfaces inR 4. The main interest in this result lies in the close relation between such Bochner-Riesz problems and certain Maximal function problems in R3.

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  1. 34 Springfield Rd, BN1 6DA, Brighton

    G. Marletta

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  1. G. Marletta
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Correspondence to G. Marletta.

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Supported by an E.P.S.R.C. grant.

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Marletta, G. A Bochner-Riesz result for a cone. Rend. Circ. Mat. Palermo 48, 511–516 (1999). https://doi.org/10.1007/BF02844340

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  • DOI: https://doi.org/10.1007/BF02844340

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