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arXiv · 2009.01889

Compactness of a restricted X-ray transform

Chandan Biswas
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Abstract

We show that the X-ray transform with directions restricted along the moment curve possesses extremizers and that $L^p$-normalized extremizing sequences are precompact modulo symmetry. Our approach advances the Lorentz space method of Christ to a mixed norm Lebesgue space setting.

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Chandan Biswas. 2020-09-03. Compactness of a restricted X-ray transform. https://arxiv.org/abs/2009.01889

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