Abstract
We provide L p→L q estimates for a class of Fourier multipliers supported in convex cones of { R } n+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 { R } n+1. In some case our estimates are best possible.
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De Carli, L. (2012). On Fourier Multipliers Over Tube Domains. In: Bilyk, D., De Carli, L., Petukhov, A., Stokolos, A., Wick, B. (eds) Recent Advances in Harmonic Analysis and Applications. Springer Proceedings in Mathematics & Statistics, vol 25. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-4565-4_10
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DOI: https://doi.org/10.1007/978-1-4614-4565-4_10
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