A Note on Plate Decompositions of Cone Multipliers
نویسنده
چکیده
We observe that the range of p for Wolff’s inequality on plate decompositions of cone multipliers can be improved by using bilinear restriction techniques. This in turn is known to improve the range for sharp Lp results on cone multipliers, local smoothing for the wave equation, convolutions with radial kernels, Bergman projections in tubes over cones, averages over finite type curves in R3 and associated maximal functions. We also give some improved estimates on square functions associated to cone multipliers.
منابع مشابه
On Plate Decompositions of Cone Multipliers
An important inequality due to Wolff on plate decompositions of cone multipliers is known to have consequences for sharp L results on cone multipliers, local smoothing for the wave equation, convolutions with radial kernels, Bergman projections in tubes over cones, averages over finite type curves in R and associated maximal functions. We observe that the range of p in Wolff’s inequality, for t...
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تاریخ انتشار 2005