An existence theorem for non-pluripolar complex Monge-Ampère type equations on hyperconvex domains

Published 24 Jul 2025 in math.CV | (2507.18116v1)

Abstract: In this paper, we study the non-pluripolar complex Monge-Amp`ere measure on bounded domains in ( \mathbb{C}ⁿ ). We establish a general existence theorem for a non-pluripolar complex Monge-Amp`ere type equation with prescribed singularity on a bounded hyperconvex domain in ( \mathbb{C}ⁿ ).

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