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arXiv · 0902.0943

Radial Fourier multipliers in high dimensions

Yaryong Heo·Fedor Nazarov·Andreas Seeger
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Abstract

Given a fixed $p\neq 2$, we prove a simple and effective characterization of all radial multipliers of $\cF L^p(\Bbb R^d)$, provided that the dimension $d$ is sufficiently large. The method also yields new $L^q$ space-time regularity results for solutions of the wave equation in high dimensions.

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Yaryong Heo, Fedor Nazarov, Andreas Seeger. 2009-02-05. Radial Fourier multipliers in high dimensions. https://arxiv.org/abs/0902.0943

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