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A note on restricted X-ray transforms
Published online by Cambridge University Press: 01 May 2009
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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