Nguyen Van Khue

A comparison principle for the complex Monge-Ampère operator in Cegrell's classes and applications

In this article we will first prove a result about the convergence in capacity. Next we will obtain a general decomposition theorem for complex Monge-Ampere measures which will be used to prove a c ...

Vitali properties of Banach analytic manifolds

We discuss possible generalizations of Vitali convergence theorem when the source and the target are Banach analytic manifolds. These results are then applied to study behavior of holomorphic mappings between Banach analytic manifolds. Explicit examples of manifolds having Vitali properties are also provided.

The Complex Monge–Ampère Operator on Bounded Domains in {\mathbb{C}^{n}}

Abstract.The aim of the present paper is to establish the inequality of Xing’s type for the class

The Complex MongeAmpre Operator on Bounded Domains in <img src="/fulltext-image.asp?format=htmlnon

{\mathcal{D}}

THE WEIGHTED RELATIVE EXTREMAL FUNCTIONS AND WEIGHTED CAPACITY

introduced and investigated by [7] in recent time. Some properties of the class of

On the extension of holomorphic maps with values in a complex Lie group

{\mathcal{D}}