Le Mau Hai

collaborators

4 papers

math.CV2026

Hessian type equations for $m - I ¨ -$ subharmonic functions on bounded domains in $C^{n}$

Hoang Thieu Anh, Le Mau Hai, Nguyen Quang Dieu +1

In this paper, we study Hessian type equations for $m - I ¨ $ subharmonic functions. Using the recent results in \cite{KN23a}, \cite{KN23b}, we are able to show the existence of bounde…

math.CV2026

Continuity of the complex Monge-AmpÃ¨re operator on compact Hermitian manifolds

Le Mau Hai, Nguyen Van Phu, Trinh Tung

In this note, we establish several results concerning the continuity (or weak convergence) of the complex Monge-AmpÃ¨re operator on compact Hermitian manifolds. At the end of this…

math.CV2025

Degenerate complex Hessian equations with arbitrary measure in bounded domains

Nguyen Van Phu, Le Mau Hai

Let $I^c ◯$ be a bounded strictly $m$ -pseudoconvex domain of $C^{n}$ . We solve degenerate complex Hessian equations of the form $(Ï+ dd^c Ï)^m\wedgeÎ²^{n-m} = Î¼$ in the gene…

math.CV2025

Bounded solution to Hessian type equations for $(A ~ ¸, m) - I^^{2}$ -subharmonic functions on a ball in $C^{n}$

Hoang Thieu Anh, Le Mau Hai, Nguyen Quang Dieu +1

In this paper, we study Hessian type equations for $(A ~ ¸, m) - I^^{2}$ -subharmonic functions on a ball in $C^{n}$ , where $Î²=dd^c\|z\|^2=\frac{i}{2}\sum\limits_{j=1}^n dz_j\w d\bar{…

Hessian type equations for m−I¨−subharmonic functions on bounded domains in Cn

Continuity of the complex Monge-AmpÃ¨re operator on compact Hermitian manifolds

Degenerate complex Hessian equations with arbitrary measure in bounded domains

Bounded solution to Hessian type equations for (A~¸,m)−I^2-subharmonic functions on a ball in Cn

Hessian type equations for $m - I ¨ -$ subharmonic functions on bounded domains in $C^{n}$

Bounded solution to Hessian type equations for $(A ~ ¸, m) - I^^{2}$ -subharmonic functions on a ball in $C^{n}$