A Fourier restriction theorem based on convolution powers
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- by Xianghong Chen
- Proc. Amer. Math. Soc. 142 (2014), 3897-3901
- DOI: https://doi.org/10.1090/S0002-9939-2014-12148-4
- Published electronically: July 21, 2014
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Abstract:
We prove a Fourier restriction estimate under the assumption that certain convolution power of the measure admits an $r$-integrable density.References
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Bibliographic Information
- Xianghong Chen
- Affiliation: Department of Mathematics, University of Wisconsin-Madison, Madison, Wisconsin 53706
- Email: xchen@math.wisc.edu
- Received by editor(s): September 3, 2012
- Received by editor(s) in revised form: December 8, 2012
- Published electronically: July 21, 2014
- Additional Notes: The author’s research was supported in part by NSF grant 0652890.
- Communicated by: Alexander Iosevich
- © Copyright 2014
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 142 (2014), 3897-3901
- MSC (2010): Primary 42B10, 42B99
- DOI: https://doi.org/10.1090/S0002-9939-2014-12148-4
- MathSciNet review: 3251729