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arXiv · 2206.09323

Complex Monge-Amp\`ere equations for plurifinely plurisubharmonic functions

Nguyen Xuan Hong·Hoang Van Can·Nguyen Thi Lien·Pham Thi Lieu
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Abstract

This paper studies the complex Monge-Amp\`ere equations for $\mathcal F$-plurisubharmonic functions in bounded $\mathcal F$-hyperconvex domains. We give sufficient conditions for this equation to solve for measures with a singular part.

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Nguyen Xuan Hong, Hoang Van Can, Nguyen Thi Lien, Pham Thi Lieu. 2022-06-19. Complex Monge-Amp\`ere equations for plurifinely plurisubharmonic functions. https://arxiv.org/abs/2206.09323

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