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arXiv · 0708.2828

Characterizations of Hankel multipliers

Gustavo Garrigos·Andreas Seeger
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Abstract

We give characterizations of radial Fourier multipliers as acting on radial L^p-functions, 1<p<2d/(d+1), in terms of Lebesgue space norms for Fourier localized pieces of the convolution kernel. This is a special case of corresponding results for general Hankel multipliers. Besides L^p-L^q bounds we also characterize weak type inequalities and intermediate inequalities involving Lorentz spaces. Applications include results on interpolation of multiplier spaces.

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Gustavo Garrigos, Andreas Seeger. 2008-03-27. Characterizations of Hankel multipliers. https://arxiv.org/abs/0708.2828

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