A cone restriction estimate using polynomial partitioning
نویسندگان
چکیده
We obtain an improved Fourier restriction estimate for a truncated cone using the method of polynomial partitioning in dimension $n\\geq 3$, which particular solves conjecture $n=5$, and recovers sharp range $3\\leq n\\leq 4$. The main ingredient proof is $k$-broad extension operator, weak version $k$-linear $2\\leq k\\leq n$.
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ژورنال
عنوان ژورنال: Journal of the European Mathematical Society
سال: 2021
ISSN: ['1435-9855', '1435-9863']
DOI: https://doi.org/10.4171/jems/1168