Sharp endpoint estimates for the $X$-ray transform and the Radon transform in finite fields

DOI10.1090/S0002-9939-2013-11668-0zbMath1279.43008arXiv1209.1215MaRDI QIDQ2839364

Doowon Koh

Publication date: 5 July 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.1215

zbMATH Keywords

Radon transformfinite fields

Mathematics Subject Classification ID

Finite fields and commutative rings (number-theoretic aspects) (11T99) Other transforms and operators of Fourier type (43A32) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Related Items (1)

Sharp $L^p\rightarrow L^r$ estimates for $k$-plane transforms in finite fields

Cites Work

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• A note on k-plane integral transforms
• Generalizations of Riesz potentials and \(L^ p\) estimates for certain k- plane transforms
• Endpoint restriction estimates for the paraboloid over finite fields
• THE KAKEYA SET AND MAXIMAL CONJECTURES FOR ALGEBRAIC VARIETIES OVER FINITE FIELDS
• Averages in vector spaces over finite fields

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