On X-ray transforms for rigid line complexes and integrals over curves in ℝ⁴

Greenleaf, Allan; Seeger, Andreas; Wainger, Stephen

doi:10.1090/S0002-9939-99-05379-4

On X-ray transforms for rigid line complexes and integrals over curves in $\mathbb {R}^4$
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by Allan Greenleaf, Andreas Seeger and Stephen Wainger PDF

Proc. Amer. Math. Soc. 127 (1999), 3533-3545 Request permission

Abstract:

Endpoint estimates are proved for model cases of restricted X-ray transforms and singular fractional integral operators in $\mathbb {R}^{4}$.

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