A Monge-Ampère inequality and applications to holomorphic mappings
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- by John P. D’Angelo PDF
- 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.References
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Additional Information
- John P. D’Angelo
- Affiliation: Department of Mathematics, University of Illinois, 1409 W. Green Street, Urbana, Illinois 61801
- MR Author ID: 53760
- Email: jpda@math.uiuc.edu
- Received by editor(s): January 27, 2014
- Received by editor(s) in revised form: June 4, 2014
- Published electronically: March 25, 2015
- Additional Notes: The author acknowledges support from NSF Grant DMS 10-66177
- Communicated by: Franc Forstneric
- © Copyright 2015 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 143 (2015), 4347-4359
- MSC (2010): Primary 32W20, 32H35, 32U05
- DOI: https://doi.org/10.1090/S0002-9939-2015-12557-9
- MathSciNet review: 3373933