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

##### Authors
Fischer, Veronique
##### Description
We consider here the free two step nilpotent Lie group, provided with the homogeneous Kor\'anyi norm; we prove the $L^p$-boundedness of the maximal function corresponding to the homogeneous unit sphere, for some $p$.
##### Keywords
Mathematics - Group Theory, E22