ABSTRACT

Although subharmonic functions have played a rather minor role in the classical theory of holomorphic functions of one variable, the situation is quite different for the theory of holomorphic functions of several variables. A special class of subharmonic functions has implicitly played a significant role there from the time of the pioneering work of Hartogs early in the 20th century. For the sake of completeness a brief review of some of the basic properties of subharmonic functions of one complex variable will be included in this section to provide background for the discussion of the relevant special class of subharmonic functions of several complex variables in the next section.