On local smoothing problems and Stein’s maximal spherical means

Miao, Changxing; Yang, Jianwei; Zheng, Jiqiang

doi:10.1090/proc/13313

On local smoothing problems and Stein’s maximal spherical means
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by Changxing Miao, Jianwei Yang and Jiqiang Zheng PDF

Proc. Amer. Math. Soc. 145 (2017), 4269-4282 Request permission

Abstract:

It is proved that the local smoothing conjecture for wave equations implies certain improvements on Stein’s analytic family of maximal spherical means. Some related problems are also discussed.

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