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Proceedings of the American Mathematical Society
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Sharp endpoint estimates for the $ X$-ray transform and the Radon transform in finite fields


Author: Doowon Koh
Journal: Proc. Amer. Math. Soc. 141 (2013), 2799-2808
MSC (2010): Primary 43A32; Secondary 43A15, 11T99
Published electronically: April 17, 2013
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Abstract: This note establishes sharp $ L^p-L^r$ estimates for $ X$-ray transforms and Radon transforms in finite fields.


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Additional Information

Doowon Koh
Affiliation: Department of Mathematics, Chungbuk National University, Cheongju City, Chungbuk-Do 361-763, Republic of Korea
Email: koh131@chungbuk.ac.kr

DOI: http://dx.doi.org/10.1090/S0002-9939-2013-11668-0
PII: S 0002-9939(2013)11668-0
Keywords: $k$-plane transform, $X$-ray transform, Radon transform, finite fields
Received by editor(s): November 4, 2011
Published electronically: April 17, 2013
Communicated by: Michael T. Lacey
Article copyright: © Copyright 2013 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.