On local smoothing problems and stein’s maximal spherical means

Changxing Miao; Jianwei Yang; Jiqiang Zheng

doi:10.1090/proc/13313

On local smoothing problems and stein’s maximal spherical means

Changxing Miao, Jianwei Yang, Jiqiang Zheng

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4 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	4269-4282
页数	14
期刊	Proceedings of the American Mathematical Society
卷	145
期	10
DOI	https://doi.org/10.1090/proc/13313
出版状态	已出版 - 2017
已对外发布	是

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Miao, C., Yang, J., & Zheng, J. (2017). On local smoothing problems and stein’s maximal spherical means. Proceedings of the American Mathematical Society, 145(10), 4269-4282. https://doi.org/10.1090/proc/13313

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abstract = "It is proved that the local smoothing conjecture for wave equations implies certain improvements on Stein{\textquoteright}s analytic family of maximal spherical means. Some related problems are also discussed.",

keywords = "Local smoothing, Maximal spherical means, Oscillatory integral, Wave equation",

author = "Changxing Miao and Jianwei Yang and Jiqiang Zheng",

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AB - 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.

KW - Local smoothing

KW - Maximal spherical means

KW - Oscillatory integral

KW - Wave equation

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On local smoothing problems and stein’s maximal spherical means

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