Inequalities of Brascamp-Lieb type on the Heisenberg group

Published 4 Jan 2024 in math.CA | (2401.02510v2)

Abstract: We prove both necessary and sufficient conditions for $L^{p$-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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