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arXiv · 0712.3477

A note on restricted X-ray transforms

Norberto Laghi
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Abstract

We show how the techniques introduces by Christ can be employed to derive endpoint $L^p-L^q$ bounds for the X-ray transform associated to the line complex generated by the curve $t\to(t,t^2,...,t^{d-1}).$ Almost-sharp Lorentz space estimates are produced as well.

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Norberto Laghi. 2007-12-20. A note on restricted X-ray transforms. https://doi.org/10.1017/s0305004108002065

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