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The optimal constant in the $L^2$ Folland-Stein inequality on the quaternionic Heisenberg group

Published 15 Sep 2010 in math.AP and math.DG | (1009.2978v2)

Abstract: We determine the best (optimal) constant in the $L2$ Folland-Stein inequality on the quaternionic Heisenberg group and the non-negative functions for which equality holds.

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