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-Ampère operator. The interplay between these two notions 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. The substantial proportion of this monograph devoted to classical properties of subharmonic and plurisubharmonic functions makes the pluripotential theory available for the first time to a wide audience of
'contains an up-to-date account of the developments from the large volume of recent work in this area, and makes the subject available for the first time to a wide audience of analysis'
L'Enseignement Mathématique, 1992
'This monograph will surely become a standard work both for mathematicians wishing to learn about pluripotential theory and for those who are already actively researching in this field.'
D.H. Armitage, Zentralblatt für Mathematik und ihre Grenzgebiete Mathematics Abstracts
PART I: Complex Differentiation; Subharmonic and plurisubharmonic functions; PART II: The Complex Monge-Ampere Operator: The Dirichet problem for the Monge-Ampere operator; Maximal functions of logarithmic growth; Maximal functions with logarithmic singularities; Appendix: foliations, references; Index.
Series: London Mathematical Society Monographs
Number Of Pages: 288
Published: 19th December 1991
Publisher: Oxford University Press
Country of Publication: GB
Dimensions (cm): 24.1 x 16.3
Weight (kg): 0.63
Edition Number: 6