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A note on restricted X-ray transforms

Published online by Cambridge University Press:  01 May 2009

NORBERTO LAGHI
NORBERTO LAGHI*
Affiliation:
School of Mathematics and Maxwell Institute of Mathematical Sciences, The University of Edinburgh, JCM Building, The King's Buildings, Edinburgh EH9 3JZ, Scotland. e-mail: N.Laghi@ed.ac.uk
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Abstract

We show how the techniques introduced in [1] and [2] can be employed to derive endpoint Lp → Lq bounds for the X-ray transform associated to the line complex generated by the curve t → (t, t2, . . ., td−1). Almost-sharp Lorentz space estimates are produced as well.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 146 , Issue 3 , May 2009 , pp. 719 - 729
Copyright
Copyright © Cambridge Philosophical Society 2008

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References

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