English

A short proof of commutator estimates

Analysis of PDEs 2019-07-25 v3 Classical Analysis and ODEs

Abstract

The goal of this note is to give, at least for a restricted range of indices, a short proof of homogeneous commutator estimates for fractional derivatives of a product, using classical tools. Both LpL^{p} and weighted LpL^{p} estimates can be proved by the same argument. When the space dimension is 1, we obtain some new estimates in the unexplored range 1/3<r1/21/3<r\le1/2.

Keywords

Cite

@article{arxiv.1709.01294,
  title  = {A short proof of commutator estimates},
  author = {Piero D'Ancona},
  journal= {arXiv preprint arXiv:1709.01294},
  year   = {2019}
}
R2 v1 2026-06-22T21:33:18.474Z