Restriction estimates using polynomial partitioning II

Larry Guth Massachusetts Institute of Technology

Classical Analysis and ODEs mathscidoc:1911.43026

Acta Mathematica, 221, (1), 81-142, 2018
We improve the estimates in the restriction problem in dimension n⩾4. To do so, we establish a weak version of a k-linear restriction estimate for any k. The exponents in this weak k-linear estimate are sharp for all k and n.
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  title={Restriction estimates using polynomial partitioning II},
  author={Larry Guth},
  booktitle={Acta Mathematica},
Larry Guth. Restriction estimates using polynomial partitioning II. 2018. Vol. 221. In Acta Mathematica. pp.81-142.
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