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

Dimiter Vassilev; Ivan Minchev; Stefan Ivanov

arxiv: 1009.2978 · v2 · pith:ACBIKO4Dnew · submitted 2010-09-15 · 🧮 math.AP · math.DG

The optimal constant in the L² Folland-Stein inequality on the quaternionic Heisenberg group

Stefan Ivanov , Ivan Minchev , Dimiter Vassilev This is my paper

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keywords constantfolland-steingroupheisenberginequalityoptimalquaternionicbest

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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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The optimal constant in the L² Folland-Stein inequality on the quaternionic Heisenberg group

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