Journal of Fourier Analysis and Applications

, Volume 13, Issue 5, pp 623–641

Fourier Restriction of H1 Functions on Polynomial Surfaces


DOI: 10.1007/s00041-006-6055-4

Cite this article as:
Dendrinos, S. J Fourier Anal Appl (2007) 13: 623. doi:10.1007/s00041-006-6055-4


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.

Copyright information

© Birkhauser Boston 2007

Authors and Affiliations

  1. 1.Department of Mathematics, University of Bristol, University WalkBristol BS8 1TWUK

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