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Nonexistence of extremals for the adjoint restriction inequality on the hyperboloid

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Abstract

We study the problem of existence of extremizers for the L 2 to L p adjoint Fourier restriction inequalities for the hyperboloid in dimensions 3 and 4 in the case p is an even integer. We use the method developed by Foschi in [5] to show that extremizers do not exist.

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Authors and Affiliations

  1. Department of Mathematics, University of California, Berkeley, CA, 94720-3840, USA

    René Quilodrán

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  1. René Quilodrán
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Correspondence to René Quilodrán.

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Research supported in part by NSF grant DMS-0901569.

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Quilodrán, R. Nonexistence of extremals for the adjoint restriction inequality on the hyperboloid. JAMA 125, 37–70 (2015). https://doi.org/10.1007/s11854-015-0002-8

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  • DOI: https://doi.org/10.1007/s11854-015-0002-8

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