A note on restricted X-ray transforms
classification
🧮 math.CA
keywords
x-rayalmost-sharpassociatedboundschristcomplexcurvederive
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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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