Mathematics – Classical Analysis and ODEs
Scientific paper
2011-09-06
Mathematics
Classical Analysis and ODEs
Scientific paper
Consider the Fourier restriction operator associated to a curve in $R^d$,
$d\ge 3$. We prove for various classes of curves the endpoint restricted strong
type estimate with respect to affine arclength measure on the curve. An
essential ingredient is an interpolation result for multilinear operators with
symmetries acting on sequences of vector-valued functions.
Bak Jong-Guk
Oberlin Daniel M.
Seeger Andreas
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