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arXiv · 1001.2789

On radial and conical Fourier multipliers

Yaryong Heo·Fedor Nazarov·Andreas Seeger
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Abstract

We investigate connections between radial Fourier multipliers on $R^d$ and certain conical Fourier multipliers on $R^{d+1}$. As an application we obtain a new weak type endpoint bound for the Bochner-Riesz multipliers associated to the light cone in $R^{d+1}$, where $d\ge 4$, and results on characterizations of $L^p\to L^{p,ν}$ inequalities for convolutions with radial kernels.

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Yaryong Heo, Fedor Nazarov, Andreas Seeger. 2010-01-15. On radial and conical Fourier multipliers. https://arxiv.org/abs/1001.2789

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