On Radial and Conical Fourier Multipliers
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- Heo, Y., Nazarov, F. & Seeger, A. J Geom Anal (2011) 21: 96. doi:10.1007/s12220-010-9171-y
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We investigate connections between radial Fourier multipliers on ℝd and certain conical Fourier multipliers on ℝd+1. As an application we obtain a new weak type endpoint bound for the Bochner–Riesz multipliers associated with the light cone in ℝd+1, where d≥4, and results on characterizations of Lp→Lp,ν inequalities for convolutions with radial kernels.