A Monge-Ampère inequality and applications to holomorphic mappings

John P. D’Angelo

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

A Monge-Ampère inequality and applications to holomorphic mappings

John P. D’Angelo

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We provide sufficient conditions for a variational inequality involving the complex Monge-Amp`ere 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.

Original language	English (US)
Pages (from-to)	4347-4359
Number of pages	13
Journal	Proceedings of the American Mathematical Society
Volume	143
Issue number	10
DOIs	https://doi.org/10.1090/S0002-9939-2015-12557-9
State	Published - Oct 1 2015

Keywords

Complex Monge-Ampère determinant
Plurisubharmonic functions
Proper holomorphic mappings
Volumes of holomorphic images

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

Online availability

10.1090/S0002-9939-2015-12557-9

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A Monge-Ampère inequality and applications to holomorphic mappings

Abstract

Keywords

ASJC Scopus subject areas

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