Estimates for the $X$-ray transform restricted to 2-manifolds

M. Burak Erdoğan; Richard Oberlin

doi:10.4171/rmi/595

JournalsrmiVol. 26, No. 1pp. 91–114

Estimates for the $X$ -ray transform restricted to 2-manifolds

M. Burak Erdoğan
University of Illinois, Urbana, United States
- MathSciNet
- zbMATH Open
Richard Oberlin
Louisiana State University, Baton Rouge, USA
- MathSciNet
- zbMATH Open

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Abstract

We prove almost sharp mixed-norm estimates for the $X$ -ray transform restricted to lines whose directions lie on certain well-curved two dimensional manifolds.

Cite this article

M. Burak Erdoğan, Richard Oberlin, Estimates for the $X$ -ray transform restricted to 2-manifolds. Rev. Mat. Iberoam. 26 (2010), no. 1, pp. 91–114

DOI 10.4171/RMI/595