English

The Spherical Maximal Function on the Free Two-step Nilpotent Lie Group

Group Theory 2008-10-24 v1

Abstract

We consider here the free two step nilpotent Lie group, provided with the homogeneous Kor\'anyi norm; we prove the LpL^p-boundedness of the maximal function corresponding to the homogeneous unit sphere, for some pp.

Keywords

Cite

@article{arxiv.0810.4177,
  title  = {The Spherical Maximal Function on the Free Two-step Nilpotent Lie Group},
  author = {Veronique Fischer},
  journal= {arXiv preprint arXiv:0810.4177},
  year   = {2008}
}
R2 v1 2026-06-21T11:34:02.606Z