On local smoothing problems and Stein’s maximal spherical means
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- by Changxing Miao, Jianwei Yang and Jiqiang Zheng PDF
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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.References
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Additional Information
- Changxing Miao
- Affiliation: Institute of Applied Physics and Computational Mathematics, Beijing 100088, People’s Republic of China
- Email: miao_changxing@aliyun.com, miao_{}changxing@iapcm.ac.cn
- Jianwei Yang
- Affiliation: Beijing International Center for Mathematical Research, Peking University, Beijing 100871, People’s Republic of China – and – LAGA(UMR 7539), Institut Galilée, Université Paris 13, Sorbonne Paris Cité, France
- MR Author ID: 949704
- Email: geewey_{}young@pku.edu.cn
- Jiqiang Zheng
- Affiliation: Université de Nice - Sophia Antipolis, Laboratoire J. A. Dieudonné, 06108 Nice Cedex 02, France
- MR Author ID: 903431
- Email: zhengjiqiang@gmail.com
- Received by editor(s): June 5, 2014
- Published electronically: July 7, 2017
- Communicated by: Alexander Iosevich
- © Copyright 2017 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 145 (2017), 4269-4282
- MSC (2010): Primary 42B25, 42B20
- DOI: https://doi.org/10.1090/proc/13313
- MathSciNet review: 3690612