English

Level set estimates for the periodic Schr\"odinger maximal function on $\mathbb{T}^1$

Classical Analysis and ODEs 2025-02-25 v2

Abstract

We prove (essentially) sharp L4L^4 level set estimates for the periodic Schr\"odinger maximal operator in a certain range of the cut-off parameter.

Keywords

Cite

@article{arxiv.2402.01099,
  title  = {Level set estimates for the periodic Schr\"odinger maximal function on $\mathbb{T}^1$},
  author = {Ciprian Demeter},
  journal= {arXiv preprint arXiv:2402.01099},
  year   = {2025}
}

Comments

Final version, to appear in Advances in Math

R2 v1 2026-06-28T14:35:22.850Z