Koskenoja , M 2019 , ' Reflection Principle for the Complex Monge-Ampere Equation and Plurisubharmonic Functions ' , Advances in Applied Clifford Algebras , vol. 29 , no. 4 , 68 . https://doi.org/10.1007/s00006-019-0984-x
Title: | Reflection Principle for the Complex Monge-Ampere Equation and Plurisubharmonic Functions |
Author: | Koskenoja, Mika |
Contributor: | University of Helsinki, Department of Mathematics and Statistics |
Date: | 2019-09 |
Number of pages: | 14 |
Belongs to series: | Advances in Applied Clifford Algebras |
ISSN: | 0188-7009 |
URI: | http://hdl.handle.net/10138/304615 |
Abstract: | We study reflection principle for several central objects in pluripotential theory. First we show that the odd reflected function gives an extension for pluriharmonic functions over a flat boundary. Then we show that the even reflected function gives an extension for nonnegative plurisubharmonic functions. In particular cases odd and/or even reflected functions give extensions for classical solutions of the homogeneous complex Monge-Ampere equation. Finally, we state reflection principle for the generalized complex Monge-Ampere equation and maximal plurisubharmonic functions. |
Subject: |
111 Mathematics
Reflection principle Complex Monge-Ampere equation Homogeneous equation Pluriharmonic Plurisubharmonic Pluripotential theory Several complex variables |
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