On Radial and Conical Fourier Multipliers
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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.
KeywordsRadial Fourier multipliers Cone multiplier Weak type estimates
Mathematics Subject Classification (2000)42B15
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