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