Revista Matemática Iberoamericana


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Volume 26, Issue 1, 2010, pp. 91–114
DOI: 10.4171/RMI/595

Published online: 2010-04-30

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

M. Burak Erdoğan[1] and Richard Oberlin[2]

(1) University of Illinois, Urbana, United States
(2) Louisiana State University, Baton Rouge, USA

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.

Keywords: Radon, X-ray, transform, mixed-norm

Erdoğan M. Burak, Oberlin Richard: Estimates for the X-ray transform restricted to 2-manifolds. Rev. Mat. Iberoamericana 26 (2010), 91-114. doi: 10.4171/RMI/595