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PreprintarXiv licencearXiv

Restriction estimates for surfaces with negative curvature in ℝ3

  • Shaoming Guo
  • Diankun Liu
  • Yakun Xi
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Abstract

In ℝ3, we prove that Lq→ Lp restriction estimates associated with smooth surfaces with negative Gaussian curvature hold for all p>22/7 and q'<p/2.

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Cite

BibTeXRIS
BibTeX
@misc{guo2026restriction,
  title = {{Restriction estimates for surfaces with negative curvature in $\mathbb R^3$}},
  author = {Shaoming Guo and Diankun Liu and Yakun Xi},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2606.16766},
  eprint = {2606.16766},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.16766},
}
RIS
TY  - UNPB
TI  - Restriction estimates for surfaces with negative curvature in ℝ^3
AU  - Shaoming Guo
AU  - Diankun Liu
AU  - Yakun Xi
PY  - 2026
DA  - 2026/09/19
PB  - arXiv
DO  - 10.48550/arxiv.2606.16766
UR  - https://arxiv.org/abs/2606.16766
AB  - In ℝ^3, we prove that L^q→ L^p restriction estimates associated with smooth surfaces with negative Gaussian curvature hold for all p>22/7 and q'<p/2.
ER  -