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.
CITATION STYLE
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
Mendeley helps you to discover research relevant for your work.