Book searching in Pluripotential theory Can anyone recommend me a book on pluripotential theory with an intuitive approach? I have some course notes on that subject, but it's really abstract and theoretical. I want to understand why pluripotential/subharmonic/... were introduced and so on. My teacher wanted us to learn the book's Z.Blocki...
Ex: I don't understand :(
1/ Suppose that $u: \Omega \to \mathbb{R} $, a function $u$ is called harmonic if $u$ is continouns and $$u(x_0)=\dfrac{1}{V_n(B(x_0,r))}\int_{B(x_0,r)}u(x)\mathrm{d}V_n(x)$$.
2/ We have $u(x_0)=\dfrac{1}{\sigma(\partial B(x_0,r))}\int_{\partial B(x_0,r)}u(x)\mathrm{d}\sigma(x)$.
Your comments & suggestions are ALWAYS appreciated. 
 A: First of all, I don't think you will be able to find something really "intuitive". Pluripotential theory is rather theoretical and also a highly specialist field. You should already have a solid background in classical potential theory and measure theory before you attempt to learn pluripotential theory.
A very good introduction to classical potential theory is 


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*Ransford, Potential Theory in the Complex Plane. This will provide you with the background knowledge you need to appreciate and understand the subtlelties when you generalize the concepts to (the nonlinear) pluripotential setting.


That said, I would suggest that you start with the material in 


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*Krantz, Function theory in several complex variables. 


It only covers the very basics, but is very readable and a gentle introduction.
For more throrough treatments, have a look at


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*Klimek, Pluripotential theory. This was the first book published on the subject and is a little dated.

*The lecture notes by Błocki are very good.

*I haven't read them myself, but the lecture notes by Bracci and Trapani also look good.

*There is also a lot of material on pluripotential theory in Demailly's excellent book on complex analytic methods in algebraic geometry.
It may also be a good idea to read some of the old original research papers, for example I recommend


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*E. Bedford, B. A. Taylor, The Dirichlet problem for a complex Monge-Ampère
equation. Invent. Math. 37 (1976), 1-44.

*J. Siciak, On some extremal functions and their applications in the theory of analytic functions of several complex variables. Trans. Amer. Math. Soc. 105 (1962), 322-357.

*J. Siciak, Extremal plurisubharmonic functions, Ann. Pol. Math. 39 (1981), 175-211.
There are lots of other papers I could recommend if I know what particular areas you are interested in.
