Given a quadratic CR manifold M embedded in a complex space, and a holomorphic function f on a tubular neighbourhood of M, we show that the L^p-norms of the restrictions of f to the translates of M is decreasing for the ordering induced by the closed convex envelope of the image of the Levi form of M.

The author is a member of the Gruppo Nazionale per l'Analisi Matematica, la Probabilitá e le loro Applicazioni (GNAMPA) of the Istituto Nazionale di Alta Matematica (INdAM) and is partially supported by the 2020 GNAMPA grant Fractional Laplacians and subLaplacians on Lie groups and trees.