1 citations · 1 across the 3 of their papers we have counts for
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Comparison principles for Monge-Ampère measures on pluripolar sets
Thai Duong Do, Hoang Hiep Pham
In this paper, we introduce a notion of singularity comparison for plurisubharmonic functions based on the Bedford--Taylor capacity. We establish comparison principles for the comp…
An existence theorem for non-pluripolar complex Monge-Ampère type equations on hyperconvex domains
Thai Duong Do, Ngoc Thanh Cong Pham
In this paper, we study the non-pluripolar complex Monge-Ampère measure on bounded domains in \( \mathbb{C}^n \). We establish a general existence theorem for a non-pluripolar comp…
A Dirichlet type problem for non-pluripolar complex Monge-Ampère equations
Thai Duong Do, Hoang-Son Do, Van Tu Le +1
In this paper, we study a Dirichlet type problem for the non-pluripolar complex Monge - Ampère equation with prescribed singularity on a bounded domain of . We provid…
Higher complex Sobolev spaces on complex manifolds
Thai Duong Do, Duc-Bao Nguyen
We study higher complex Sobolev spaces and their corresponding functional capacities. In particular, we prove the Moser-Trudinger inequality for these spaces and discuss some relat…
On the finite energy classes of quaternionic plurisubharmonic functions
Thai Duong Do, Van Thien Nguyen
We investigate the finite -energy classes of quaternionic plurisubharmonic functions of Cegrell type. We also construct an example to show that the optimal constant in the…
Some remarks on the Cegrell's class
Hoang-Son Do, Thai Duong Do
In this paper, we study the near-boundary behavior of functions in the case where is strictly pseudoconvex. We also introduce a sufficient condition for be…