5 citations · 10 across the 10 of their papers we have counts for
11 papers · 1 filter
Alexander-Taylor's inequality for capacities in complex Sobolev spaces
Ngoc Cuong Nguyen, Do Duc Thai
We prove a sharp inequality between the Alexander-Taylor capacity and the functional capacity in a complex Sobolev space on a compact Kähler manifold. The latter space and capacity…
Higher Lelong numbers versus full Monge-Ampère mass
Do Duc Thai, Duc-Viet Vu
We prove a recent conjecture of Chi Li relating the notion of higher Lelong numbers to that of full Monge-Ampère mass.
Complex Monge-Ampere equations with solutions in finite energy classes
Do Duc Thai, Duc-Viet Vu
We characterize the class of probability measures on a compact Kahler manifold such that the associated Monge-Ampère equation has a solution of finite pluricomplex energy. Our resu…
Meromorphic maps of Kahler manifolds with trivial canonical bundles
Do Duc Thai, Duc-Viet Vu
Let M be a (bounded or not) domain of C^n which is complete with respect to a Kähler metric, or more generally, a complete Kähler manifold with trivial canonical bundle. Let f be a…
On limit Brody curves in and
Do Duc Thai, Mai Anh Duc, Ninh Van Thu
In this paper, the conjecture on the Zalcmanness of and , which is posed in \cite{Do}, is proved in the case where the derivatives of lim…
Nevanlinna theory for meromorphic maps from a closed submanifold of to a compact complex manifold
Do Duc Thai, Vu Duc Viet
The purpose of this article is threefold. The first is to construct a Nevanlina theory for meromorphic mappings from a polydisc to a compact complex manifold. In particular, we giv…