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math.CV2024
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…
math.CV2024
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…