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

^*Corresponding author for this work

School of Mathematics and Statistics

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

11 Citations (Scopus)

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.

Original language	English
Pages (from-to)	2091-2102
Number of pages	12
Journal	Proceedings of the American Mathematical Society
Volume	140
Issue number	6
DOIs	https://doi.org/10.1090/S0002-9939-2011-11076-1
Publication status	Published - 2012

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Miao, C., Zhang, J., & Zheng, J. (2012). A note on the cone restriction conjecture. Proceedings of the American Mathematical Society, 140(6), 2091-2102. https://doi.org/10.1090/S0002-9939-2011-11076-1

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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

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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

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A note on the cone restriction conjecture

Abstract

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