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.
Hardy spaces; CR manifolds; Siegel domains; 32V20, 32A35; Secondary: 32A10, 32M10;
Settore MAT/05 - Analisi Matematica
Settore MATH-03/A - Analisi matematica
28-ott-2022
https://nyjm.albany.edu/j/2022/Vol28.htm
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/954822
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