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

2008/10/22 by Véronique Fischer, Fischer, Veronique · 1 citation
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Finite Group Theory Research

paper · pdf · doi:10.48550/arxiv.0810.4177

Abstract

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

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