4 papers
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…
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…
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…