Pluripotential theory is a recently developed non-linear complex
counterpart of classical potential theory. Its main area of
application is multidimensional complex analysis. The central part
of the pluripotential theory is occupied by maximal
plurisubharmonic functions and the generalized complex Monge-Ampere
operator. The interplay between these two concepts provides the
focal point of this monograph, which contains an up-to-date account
of the developments from the large volume of recent work in this
area. A substantial proportion of the work is devoted to classical
properties of subharmonic and plurisubharmonic functions, which
makes the pluripotential theory available for the first time to a
wide audience of analysts.
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