Consider the Fourier restriction operator associated to a curve in $R^d$,$dge 3$. We prove for various classes of curves the endpoint restricted strongtype estimate with respect to affine arclength measure on the curve. Anessential ingredient is an interpolation result for multilinear operators withsymmetries acting on sequences of vector-valued functions.
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机译:考虑与$ r ^ d $,$ d ge 3 $的曲线相关联的傅里叶限制运算符。我们证明了各类曲线,端点限制了对曲线上仿射arclencth测量的强度估计。 anessential成分是多线性运算符在用载体值函数的序列中的多线性算子的插值结果。
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