7 citations · 11 across the 3 of their papers we have counts for
4 papers · 1 filter
Convergence in capacity of plurisubharmonic functions with given boundary values
Nguyen Xuan Hong, Nguyen Van Trao, Tran Van Thuy
In this paper, we study the convergence in the capacity of sequence of plurisubharmonic functions. As an application, we prove stability results for solutions of the complex Monge-…
On hyperbolicity and tautness modulo an analytic subset of Hartogs domains
Do Duc Thai, Pascal J. Thomas, Nguyen Van Trao +1
Let be a complex space and a positive homogeneous plurisubharmonic function on $X\times\C^m$. Consider the Hartogs-type domain $Ω_{H}(X):=\{(z,w)\in X\times \C^m:H(z,w)…
Green functions of the spectral ball and symmetrized polydisk
Pascal J. Thomas, Nguyen Van Trao, Wlodzimierz Zwonek
The Green function of the spectral ball is constant over the isospectral varieties, is never less than the pullback of its counterpart on the symmetrized polydisk, and is equal to…
Pluricomplex Green and Lempert functions for equally weighted poles
Pascal J. Thomas, Nguyen Van Trao
For a domain in , the pluricomplex Green function with poles is defined as $G(z):=\sup \{u(z): u\in PSH_-(Ω), u(x)\le \log \|x-a_j\|+C_j \text…