2 citations · 4 across the 13 of their papers we have counts for
15 papers
Dirichlet problem for plurisubharmonic functions on bounded quasi B-regular domains in
N. Q. Dieu, T. V. Long, T. D. Hieu
We investigate existence and uniqueness of maximal plurisubharmonic functions on bounded domains with boundary data that are not assumed to be continuous or bounded. The result is…
Hessian type equations for subharmonic functions on bounded domains in
Hoang Thieu Anh, Le Mau Hai, Nguyen Quang Dieu +1
In this paper, we study Hessian type equations for subharmonic functions. Using the recent results in \cite{KN23a}, \cite{KN23b}, we are able to show the existence of bounded…
Complex -Hessian type equations in weighted energy classes of -subharmonic functions with given boundary value
Nguyen Van Phu, Nguyen Quang Dieu
In this paper, we concern with the existence of solutions of the complex Hessian type equation in the class if there exists subsoluti…
Solutions to weighted complex m-Hessian Equations on domains in Cn
Nguyen Van Phu, Nguyen Quang Dieu
In this paper, we first study the comparison principle for the operator . This result is used to solve certain weighted complex Hessian equations.
Weighted energy class of -subharmonic functions
H. T. Anh, N. V. Phu, N. Q. Dieu
In this paper, we introduce the class and solve complex -Hessian equations in the class . Afterthat, we study subextension in the cl…
Maximal subextension and approximation of subharmonic function
Nguyen Van Phu, Nguyen Quang Dieu
In this paper, we first study subextensions in the classes and . These results are then used to study approximation in the classes $\math…
Pinchuk scaling method on domains with non-compact automorphism groups
Ninh Van Thu, Nguyen Thi Kim Son, Nguyen Quang Dieu
In this paper, we characterize weakly pseudoconvex domains of finite type in in terms of the boundary behavior of automorphism orbits by using the scaling method.
Exhaustion of hyperbolic complex manifolds and relations to the squeezing function
Ninh Van Thu, Trinh Huy Vu, Nguyen Quang Dieu
The purpose of this article is twofold. The first aim is to characterize an -dimensional hyperbolic complex manifold exhausted by a sequence of domains in $\mathbb…
Approximation of subharmonic functions on bounded domains in
Nguyen Quang Dieu, Dau Hoang Hung, Hoang Thieu Anh +1
Let be a bounded domain in . We study approximation of (not necessarily bounded from above) subharmonic function by continuous subharmonic ones defined…
Volume estimates of sublevel sets of real polynomials
Nguyen Quang Dieu, Dau Hoang Hung, Tien Son Pham +1
We give upper bounds for volume of sublevel sets of real polynomials. Our method is to combine a version of global Lojasiewicz inequality with some well known estimate on volume of…
Approximation of plurisubharmonic functions on complex varieties
Nguyen Quang Dieu, Tang Van Long, Sanphet Ounheuan
We prove some results which give sufficient conditions so that pointwise approximation of negative plurisubharmonic functions on complex varieties by continuous plurisubharmonic on…
Hyperbolicity and Vitali properties of unbounded domains in Banach spaces
Nguyen Quang Dieu, Nguyen Van Khiem, Le Thanh Hung
Let $\Om$ be a unbounded domain in a Banach space. In this work, we wish to impose {\it local conditions} on boundary point of $\Om$ (including the point at infinity) that guarante…
Vitali properties of Banach analytic manifolds
Nguyen Van Khue, Nguyen Quang Dieu, Nguyen Van Khiem
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…
Convergence of multipole Green functions
Nguyen Quand Dieu, Pascal J. Thomas
We continue the study of convergence of multipole pluricomplex Green functions for a bounded hyperconvex domain of , in the case where poles collide. We consider the c…
Estimates for invariant metrics near a non-semipositive boundary point
Nguyen Quang Dieu, Nikolai Nikolov, Pascal J. Thomas
We find the precise growth of some invariant metrics near a point on the boundary of a domain where the Levi form has at least one negative eigenvalue. We also introduce a new inva…