A local smoothing estimate in higher dimensions

Abstract

We prove the higher-dimensional analogue of Wolff's local smoothing estimate (Geom. Funct. Anal. 2001) for large p. As in the 2+1-dimensional case, the estimate is sharp for any given value of p, but it is likely that the range of p can be improved.

25 pages

Cited by in corpus (4)

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• Regularity of fractional maximal functions through Fourier multipliers
• On smoothing estimates in modulation spaces and the nonlinear Schrödinger equation with slowly decaying initial data
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