Mathematics – Classical Analysis and ODEs
Scientific paper
2011-08-12
Mathematics
Classical Analysis and ODEs
25 pages
Scientific paper
We prove an $L^2 \times L^2 \rightarrow L_t^qL_x^p $ bilinear Fourier
extension estimate for the cone when $p,q$ are on the critical line
$1/q=(\frac{n+1}{2})(1-1/p)$. This extends previous results by Wolff, Tao and
Lee-Vargas.
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