arXiv subjects

Nguyen Van Khue

Publications and source records attributed to Nguyen Van Khue.

2 recordsLinked to original sources

arXiv2016

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.

math.CV↗

arXiv2007

Some properties of the complex Monge-Ampere operator in Cegrell's classes and applications

In this article we will first prove a result about convergence in capacity. Using the achieved result we will obtain a general decompositon theorem for complex Monge-Ampere measues which will be used to prove a comparison principle for the complex Monge-Ampere operator.

math.CV↗