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Convolution Estimates and Model Surfaces of Low Codimension

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Abstract

For k≥d/2 we give examples of measures on k-surfaces in ℝd. These measures satisfy convolution estimates which are nearly optimal.

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Authors and Affiliations

  1. Department of Mathematics, Florida State University, Tallahassee, FL, 32306, USA

    Daniel M. Oberlin

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  1. Daniel M. Oberlin
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Correspondence to Daniel M. Oberlin.

Additional information

Communicated by Fulvio Ricci.

The author was supported in part by NSF grant DMS-0552041.

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Oberlin, D.M. Convolution Estimates and Model Surfaces of Low Codimension. J Fourier Anal Appl 14, 484–491 (2008). https://doi.org/10.1007/s00041-008-9015-3

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  • DOI: https://doi.org/10.1007/s00041-008-9015-3

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