On the convergence in capacity on compact Kahler manifolds and its applications

Authors: Phạm Hoàng Hiệp,

https://doi.org/10.1090/S0002-9939-08-09043-6

Publisher, magazine: ,

Publication year: 2008

  Lưu        Trích dẫn         Chia sẻ

Abstract

The main aim of the present note is to study the convergence in CX,ω on a compact Kahler mainfold X. The obtained results are used to study global extremal functions and describe the ω-pluripolar hull of an ω-pluripolar subset in X.

Tags: Complex Monge-Amp`ere operator, ω-plurisubharmonic functions, compact Kahler manifold.