The spherical maximal function on the free two-step nilpotent Lie group

• Autores: V. Fischer
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 99, Nº 1, 2006, págs. 99-118
• Idioma: inglés
• DOI: 10.7146/math.scand.a-15002
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• Resumen

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