Indicators for Plurisubharmonic Functions of Logarithmic Growth
Alexander Rashkovskii
Abstract
A notion of indicator for a plurisubharmonic function u of logarithmic growth in Cn is introduced and studied. It is applied to evaluation of the total Monge-Ampère measure (ddcu)n(Cn). Upper bounds for the measure are obtained in terms of growth characteristics of u. When u=log|f| for a polynomial mapping f with isolated zeros, the indicator generates the Newton polyhedron of f whose volume bounds the number of the zeros.
Create a lesson
Related papers
Sharp Robertson-type coefficient estimates for radial starlike and quasi-convex of type B mappings of order α in complex Banach spaces
Sujoy Majumder, Abhijit Banerjee, Goutam Haldar
Biholomorphic rigidity and symmetry breaking for domains with Bergman metric of constant positive holomorphic sectional curvature
Gordon Heier, Ravi Mudaliar, Haotian Zuo
Chern classes of Levi non-degenerate CR manifolds
Yuya Takeuchi
A Counterexample to the Holomorphic Cancellation Problem
Gaofeng Huang
Atiyah classes and ellipticity of Oka manifolds
Yuta Kusakabe, Shin-ichi Matsumura
Quasiconformal deformations of chordal Loewner chains
Yong Han, Renxin Jiang