Uniform bounds for convolution and restricted X-ray transforms along degenerate curves
Uniform bounds for convolution and restricted X-ray transforms along degenerate curves
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DOI：
10.1016/j.jfa.2014.10.012
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发表时间：
2015-02
期刊：
影响因子：
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通讯作者：
S. Dendrinos;Betsy Stovall
中科院分区：
文献类型：
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作者：
S. Dendrinos;Betsy Stovall
我们建立端点Lebesgue空间边界的卷积和限制X射线变换沿着曲线满足相当小的可微性假设，与仿射和欧氏弧。我们还探讨了这些运营商的仿射和欧几里德版本的某些自然插值和外推的行为。
We establish endpoint Lebesgue space bounds for convolution and restricted X-ray transforms along curves satisfying fairly minimal differentiability hypotheses, with affine and Euclidean arclengths. We also explore the behavior of certain natural interpolants and extrapolants of the affine and Euclidean versions of these operators.