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

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

2010-09-15

arxiv.org/abs/1009.2978v2

Mathematics

Analysis of PDEs

Corrected typos and improved the presentation

Scientific paper

We determine the best (optimal) constant in the $L^2$ Folland-Stein
inequality on the quaternionic Heisenberg group and the non-negative functions
for which equality holds.

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