English

A note on truncations in fractional Sobolev spaces

Analysis of PDEs 2017-01-18 v1

Abstract

We study the Nemytskii operators uuu\mapsto |u| and uu±u\mapsto u^{\pm} in fractional Sobolev spaces Hs(Rn)H^s(\mathbb R^n), s>1s>1.

Keywords

Cite

@article{arxiv.1701.04425,
  title  = {A note on truncations in fractional Sobolev spaces},
  author = {Roberta Musina and Alexander I. Nazarov},
  journal= {arXiv preprint arXiv:1701.04425},
  year   = {2017}
}

Comments

9 pages

R2 v1 2026-06-22T17:51:31.853Z