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Fourier Restriction of H1 Functions on Polynomial Surfaces

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Abstract

We prove a Fourier restriction theorem for H1 functions, which is a generalization of a classical inequality of Hardy. As a consequence of our result, we explicitly obtain a class of BMO functions.

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  1. Department of Mathematics, University of Bristol, University Walk, Bristol BS8 1TW, UK

    Spyridon Dendrinos

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  1. Spyridon Dendrinos
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Correspondence to Spyridon Dendrinos.

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Dendrinos, S. Fourier Restriction of H1 Functions on Polynomial Surfaces. J Fourier Anal Appl 13, 623–641 (2007). https://doi.org/10.1007/s00041-006-6055-4

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  • DOI: https://doi.org/10.1007/s00041-006-6055-4

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