Restriction estimates using multilinear Kakeya

Abstract

We use multilinear Kakeya estimates to establish restriction estimates in higher dimensions. For sufficiently large dimensions, our approach yields better exponents than those obtained by a direct application of polynomial partitioning.

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BibTeX RIS

BibTeX

@misc{wang2026restriction,
  title = {{Restriction estimates using multilinear Kakeya}},
  author = {Xiangyu Wang},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.17752},
  eprint = {2610.17752},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.17752},
  note = {CC0},
}

RIS

TY  - UNPB
TI  - Restriction estimates using multilinear Kakeya
AU  - Xiangyu Wang
PY  - 2026
DA  - 2026/10/20
PB  - arXiv
DO  - 10.48550/arxiv.2610.17752
UR  - https://arxiv.org/abs/2610.17752
AB  - We use multilinear Kakeya estimates to establish restriction estimates in higher dimensions. For sufficiently large dimensions, our approach yields better exponents than those obtained by a direct application of polynomial partitioning.
ER  -

Abstract

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