This question was originally posted on MATH StackExchange: https://math.stackexchange.com/questions/3801328/reading-material-for-an-analytical-aspect-of-k%c3%a4hler-geometryMSE. But I would like to post it here to see whether anyone could recommend some reference for me.
I am currently reading the paper "Three-circle theorem and dimension estimate for holomorphic functions on Kähler manifolds" by Gang Liu and would like to see if anyone could recommend some books on the analytical aspect of Kähler geometry. More specifically, are there any books in analysis on Kähler geometry/ Kähler-Ricci flow that is written in a way like Peter Li's "Geometric Analysis" or Chow-Lu-Ni's "Hamilton's Ricci Flow"?
Your help is very much appreciated.
In the original post, I found Wells' and Ballmann's books to be useful, but not exactly what I am looking for.