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