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

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

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.

Original language	English
Pages (from-to)	4269-4282
Number of pages	14
Journal	Proceedings of the American Mathematical Society
Volume	145
Issue number	10
DOIs	https://doi.org/10.1090/proc/13313
Publication status	Published - 2017
Externally published	Yes

Keywords

Local smoothing
Maximal spherical means
Oscillatory integral
Wave equation

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10.1090/proc/13313

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title = "On local smoothing problems and stein{\textquoteright}s maximal spherical means",

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",

note = "Publisher Copyright: {\textcopyright} 2017 American Mathematical Society.",

year = "2017",

doi = "10.1090/proc/13313",

language = "English",

volume = "145",

pages = "4269--4282",

journal = "Proceedings of the American Mathematical Society",

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T1 - On local smoothing problems and stein’s maximal spherical means

AU - Miao, Changxing

AU - Yang, Jianwei

AU - Zheng, Jiqiang

PY - 2017

Y1 - 2017

N2 - 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.

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

UR - https://www.scopus.com/pages/publications/85029577945

U2 - 10.1090/proc/13313

DO - 10.1090/proc/13313

M3 - Article

AN - SCOPUS:85029577945

SN - 0002-9939

VL - 145

SP - 4269

EP - 4282

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 10

ER -

On local smoothing problems and stein’s maximal spherical means

Abstract

Keywords

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