On Fourier Multipliers Over Tube Domains

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Abstract

We provide Lp → Lq estimates for a class of Fourier multipliers supported in convex cones of Rn+1. In particular we consider cones whose boundary has n > 1 nonvanishing principal curvatures, and cones which are the convex envelope of N linearly independent half lines passing through the origin of Rn+1. In some case our estimates are best possible. © Springer Science+Business Media, LLC 2013.

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de Carli, L. (2013). On Fourier Multipliers Over Tube Domains. In Springer Proceedings in Mathematics and Statistics (Vol. 25, pp. 79–91). Springer New York LLC. https://doi.org/10.1007/978-1-4614-4565-4_10

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