We prove a Fourier restriction theorem for H^1 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.
|Translated title of the contribution||Fourier restriction of H^1 functions on polynomial surfaces|
|Pages (from-to)||623 - 641|
|Number of pages||19|
|Journal||Journal of Fourier Analysis and Applications|
|Publication status||Published - Oct 2007|