A note on the cone restriction conjecture

Changxing Miao; Junyong Zhang; Jiqiang Zheng

doi:10.1090/S0002-9939-2011-11076-1

A note on the cone restriction conjecture

Changxing Miao^*, Junyong Zhang, Jiqiang Zheng

^*此作品的通讯作者

数学学院

科研成果: 期刊稿件 › 文章 › 同行评审

11 引用（Scopus）

摘要

This paper is devoted to the study of the restriction problem in harmonic analysis. Based on the spherical harmonics expansion and analyzing the asymptotic behavior of the Bessel function, we show that a modified linear adjoint restriction estimate holds for all Schwartz functions compactly supported on the cone, which generalizes Shao's result.

源语言	英语
页（从-至）	2091-2102
页数	12
期刊	Proceedings of the American Mathematical Society
卷	140
期	6
DOI	https://doi.org/10.1090/S0002-9939-2011-11076-1
出版状态	已出版 - 2012

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title = "A note on the cone restriction conjecture",

abstract = "This paper is devoted to the study of the restriction problem in harmonic analysis. Based on the spherical harmonics expansion and analyzing the asymptotic behavior of the Bessel function, we show that a modified linear adjoint restriction estimate holds for all Schwartz functions compactly supported on the cone, which generalizes Shao's result.",

author = "Changxing Miao and Junyong Zhang and Jiqiang Zheng",

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AU - Miao, Changxing

AU - Zhang, Junyong

AU - Zheng, Jiqiang

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AB - This paper is devoted to the study of the restriction problem in harmonic analysis. Based on the spherical harmonics expansion and analyzing the asymptotic behavior of the Bessel function, we show that a modified linear adjoint restriction estimate holds for all Schwartz functions compactly supported on the cone, which generalizes Shao's result.

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DO - 10.1090/S0002-9939-2011-11076-1

M3 - Article

AN - SCOPUS:84863183648

SN - 0002-9939

VL - 140

SP - 2091

EP - 2102

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 6

ER -

A note on the cone restriction conjecture

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