# On radial and conical Fourier multipliers - Mathematics > Classical Analysis and ODEs

On radial and conical Fourier multipliers - Mathematics > Classical Analysis and ODEs - Download this document for free, or read online. Document in PDF available to download.

Abstract: We investigate connections between radial Fourier multipliers on $R^d$ andcertain conical Fourier multipliers on $R^{d+1}$. As an application we obtain anew weak type endpoint bound for the Bochner-Riesz multipliers associated tothe light cone in $R^{d+1}$, where $d\ge 4$, and results on characterizationsof $L^p\to L^{p, u}$ inequalities for convolutions with radial kernels.

Author: Yaryong Heo, Fedor Nazarov, Andreas Seeger

Source: https://arxiv.org/