English

Kato-Ponce estimates for fractional sublaplacians

Analysis of PDEs 2021-07-22 v1 Classical Analysis and ODEs

Abstract

We give a proof of commutator estimates for fractional powers of the sublaplacian on the Heisenberg group. Our approach is based on pointwise and LpL^p estimates involving square fractional integrals and Littlewood-Paley square functions.

Keywords

Cite

@article{arxiv.2107.10235,
  title  = {Kato-Ponce estimates for fractional sublaplacians},
  author = {L. Fanelli and L. Roncal},
  journal= {arXiv preprint arXiv:2107.10235},
  year   = {2021}
}

Comments

18 pages, 1 figure