English

Maximal estimates for averages over space curves

Classical Analysis and ODEs 2021-12-09 v2

Abstract

Let MM be the maximal operator associated to a smooth curve in R3\mathbb R^3 which has nonvanishing curvature and torsion. We prove that MM is bounded on LpL^p if and only if p>3p>3.

Keywords

Cite

@article{arxiv.2102.07175,
  title  = {Maximal estimates for averages over space curves},
  author = {Hyerim Ko and Sanghyuk Lee and Sewook Oh},
  journal= {arXiv preprint arXiv:2102.07175},
  year   = {2021}
}

Comments

Minor changes, to appear in Invent. Math

R2 v1 2026-06-23T23:08:44.688Z