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arXiv · 2507.18116

An existence theorem for non-pluripolar complex Monge-Amp\`ere type equations on hyperconvex domains

Thai Duong Do·Ngoc Thanh Cong Pham
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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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Thai Duong Do, Ngoc Thanh Cong Pham. 2025-07-24. An existence theorem for non-pluripolar complex Monge-Amp\`ere type equations on hyperconvex domains. https://arxiv.org/abs/2507.18116

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