A MONGE-AMPÈRE TYPE OPERATOR IN 2-DIMENSIONAL SPECIAL LAGRANGIAN GEOMETRY
Keywords:
Monge-Ampère type operator, special Lagrangian n-plane, φ-plurisubharmonic, Radon transformAbstract
In this paper, we construct a Monge-Ampère type operator in 2-dimensional special Lagrangian geometry based on the calibrated geometry developed by Harvey and Lawson. We give a special Lagrangian version of the Chern-Levine-Nirenberg estimate for complex Monge-Ampère operator, which enables us to define the Monge-Ampère type operator on continuous φ-plurisubharmonic functions on a domain in \(\mathbb{C}\)2.
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Published
2015-06-30
How to Cite
Kang, Q. (2015). A MONGE-AMPÈRE TYPE OPERATOR IN 2-DIMENSIONAL SPECIAL LAGRANGIAN GEOMETRY. Italian Journal of Pure and Applied Mathematics, 34, 449–462. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6330
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Section
Articoli - Forum Editrice
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Copyright (c) 2015 Qianqian Kang
This work is licensed under a Creative Commons Attribution 4.0 International License.
L'opera è pubblicata sotto Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)
