DEFINITION OF THE COMPLEX MONGE-AMP􀀀�ERE OPERATOR FOR ARBITRARY PLURISUBHARMONIC FUNCTIONS

Abstract

In this paper we consider the problem of de nition of the Monge-Amp􀀀ere operator for an arbitrary plurisubharmonic function. The paper has a survey character; in it we discuss on the results related to this area. We give one construction of the de nition of the Monge-Amp􀀀ere operator, which will then be applied to maximal plurisubharmonic functions.