Inequalities of Brascamp-Lieb type on the Heisenberg group
Abstract
We prove both necessary and sufficient conditions for Lp-bound\-ed\-ness of certain multilinear generalized Radon transforms that arise as Heisenberg group analogues of the Brascamp--Lieb inequalities on Euclidean space. The necessary and sufficient conditions coincide in some important special cases, but differ in others.
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