Fundamental solutions of the complex Monge-Ampère equation
Volume 67 / 1997
                    
                    
                        Annales Polonici Mathematici 67 (1997), 103-110                    
                                        
                        DOI: 10.4064/ap-67-2-103-110                    
                                    
                                                Abstract
We prove that any positive function on ℂℙ¹ which is constant outside a countable $G_δ$-set is the order function of a fundamental solution of the complex Monge-Ampère equation on the unit ball in ℂ² with a singularity at the origin.
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            