论文标题
受限X射线变换的紧凑性
Compactness of a restricted X-ray transform
论文作者
论文摘要
我们表明，X射线变换具有限制在矩曲线具有极端变化的方向的方向，并且$ l^p $ normalizatizan formalizatizan formalization sormatization序列是预发模量对称性。我们的方法将基督的洛伦兹太空方法推向了混合的诺贝格太空环境。
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.
