Fourier restriction of H1 functions on polynomial surfaces

Spyridon Dendrinos

doi:10.1007/s00041-006-6055-4

Fourier restriction of H¹ functions on polynomial surfaces

Spyridon Dendrinos

University of Bristol

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	623-641
Number of pages	19
Journal	Journal of Fourier Analysis and Applications
Volume	13
Issue number	5
DOIs	https://doi.org/10.1007/s00041-006-6055-4
Publication status	Published - Oct 2007
Externally published	Yes

Keywords

BMO
Fourier restriction
Hardy spaces

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title = "Fourier restriction of H1 functions on polynomial surfaces",

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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author = "Spyridon Dendrinos",

year = "2007",

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journal = "Journal of Fourier Analysis and Applications",

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AB - 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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KW - Hardy spaces

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JO - Journal of Fourier Analysis and Applications

JF - Journal of Fourier Analysis and Applications

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Fourier restriction of H¹ functions on polynomial surfaces

Abstract

Keywords

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