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

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

2008-10-22

arxiv.org/abs/0810.4177v1

Mathematics

Group Theory

Scientific paper

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 $p$.

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