Growth of plurisubharmonic functions (Q1060325)

Let B denote the family of all functions \(\Phi\) defined by on \({\mathbb{C}}^ n\times {\mathbb{R}}_+\) such that (z,w)\(\to \Phi (z,| w|)\) (where \((z,w)\in {\mathbb{C}}^ n\times {\mathbb{C}})\) is plurisubharmonic. If K is a compact set in \({\mathbb{C}}^ n\) and \(\Phi\) belongs to B one can define a number of functions and constants related to the growth of \(\Phi\) on \(K\times {\mathbb{R}}_+\). In the paper in question, the author investigates the behaviour of some of such growth indicating functions and shows their relevance in the value distribution theory for meromorphic functions of several complex variables.