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arXiv · 1304.1324

On Conic Fourier Multipliers

Antonio Córdoba·Keith M. Rogers
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Abstract

We prove a weighted inequality which controls conic Fourier multiplier operators in terms of lacunary directional maximal operators. By bounding the maximal operators, this enables us to conclude that the multiplier operators are bounded on $L^p(\mathbb{R}^3)$ with $1<p<\infty$.

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Antonio Córdoba, Keith M. Rogers. 2013-04-04. On Conic Fourier Multipliers. https://arxiv.org/abs/1304.1324

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