English

Fractional Leibniz rule on the torus

Classical Analysis and ODEs 2024-12-13 v3 Analysis of PDEs

Abstract

We discuss the fractional Leibniz rule for periodic functions on the dd-dimensional torus, including the endpoint cases. As an application, we present a product estimate, involving distributions of negative regularities.

Keywords

Cite

@article{arxiv.2311.07998,
  title  = {Fractional Leibniz rule on the torus},
  author = {Árpád Bényi and Tadahiro Oh and Tengfei Zhao},
  journal= {arXiv preprint arXiv:2311.07998},
  year   = {2024}
}

Comments

14 pages. Updated references. Published in Proc. Amer. Math. Soc

R2 v1 2026-06-28T13:20:30.416Z