A Class of Plurisubharmonic Functions of Positively Homogeneous of Order ρ

1　 IntroductionThe surjectivity of convolution operator and in particular of linear partial differrentialoperators with constant coefficients is often equivalent to a problem of division in anappropriate space of entire functions.Those problems often have a tight connection withthe study of plurisubharmonic functions and weight system.In this paper we construct aclass of plusisubharmonic functions of positively homogeneous oforderρ and some weightsystem,and discuss their properties.These res…