The maximum modulus principle for CR functions

Iordan, Andrei

doi:10.1090/S0002-9939-1986-0822441-3

The maximum modulus principle for CR functions
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by Andrei Iordan

Proc. Amer. Math. Soc. 96 (1986), 465-469

DOI: https://doi.org/10.1090/S0002-9939-1986-0822441-3

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Abstract:

Let $M$ be a CR submanifold of ${{\mathbf {C}}^n}$ without extreme points. Then, the modulus of any CR function on $M$ cannot have a strong local maximum at any point of $M$.

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