A Monge-Ampère inequality and applications to holomorphic mappings

D’Angelo, John

doi:10.1090/S0002-9939-2015-12557-9

A Monge-Ampère inequality and applications to holomorphic mappings
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Proc. Amer. Math. Soc. 143 (2015), 4347-4359 Request permission

Abstract:

We provide sufficient conditions for a variational inequality involving the complex Monge-Ampère determinant and give applications to proper holomorphic mappings. We also clarify the proof of a sharp inequality about volumes of holomorphic images by placing it in this more general context.

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