Fourier transform of anisotropic Hardy spaces

Details Fourier transform of anisotropic Hardy spaces Fourier transform of anisotropic Hardy spaces

2011-10-07

arxiv.org/abs/1110.1671v1

Mathematics

Classical Analysis and ODEs

Scientific paper

We extend an estimate of Taibleson and Weiss, regarding Fourier transform of
Hardy spaces, to the aniostropic setting. As consequences, we obtain necessary
conditions for multiplier operators, and the anisotropic version of the
Hardy-Littlewood inequality. This last inequality is strengthened with a
rearrangement argument.

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