An existence theorem for non-pluripolar complex Monge-Ampère type equations on hyperconvex domains
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918103223369728 |
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| author | Do, Thai Duong Pham, Ngoc Thanh Cong |
| author_facet | Do, Thai Duong Pham, Ngoc Thanh Cong |
| contents | 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 complex Monge-Ampère type equation with prescribed singularity on a bounded hyperconvex domain in \( \mathbb{C}^n \). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_18116 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An existence theorem for non-pluripolar complex Monge-Ampère type equations on hyperconvex domains Do, Thai Duong Pham, Ngoc Thanh Cong Complex Variables 31C10, 32U15, 32U40 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 complex Monge-Ampère type equation with prescribed singularity on a bounded hyperconvex domain in \( \mathbb{C}^n \). |
| title | An existence theorem for non-pluripolar complex Monge-Ampère type equations on hyperconvex domains |
| topic | Complex Variables 31C10, 32U15, 32U40 |
| url | https://arxiv.org/abs/2507.18116 |