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 Lp-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.
A Note on Hardy Spaces on Quadratic CR Manifolds / M. Calzi. - In: NEW YORK JOURNAL OF MATHEMATICS. - ISSN 1076-9803. - 28:(2022 Oct 28), pp. 1498-1505.
A Note on Hardy Spaces on Quadratic CR Manifolds
M. Calzi
2022
Abstract
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 Lp-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.
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