Revista Matemática Iberoamericana
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Estimates for the X-ray transform restricted to 2-manifoldsM. Burak Erdoğan and Richard Oberlin (1) Department of Mathematics - UIUC, University of Illinois, 216 Altgeld Hall, 1409 W Green Street, IL 61801, URBANA, UNITED STATES
(2) Department of Mathematics, Louisiana State University, LA 70803-4918, BATON ROUGE, UNITED STATES
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