On the approximation of weakly plurifinely plurisubharmonic functions

Nguyen Xuan Hong; Hoang Van Can

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arXiv · 1801.08342

On the approximation of weakly plurifinely plurisubharmonic functions

Nguyen Xuan Hong·Hoang Van Can

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Abstract

In this note, we study the approximation of singular plurifinely plurisubharmonic function $u$ defined on a plurifinely domain $\Omega$. Under some conditions, we prove that $u$ can be approximated by an increasing sequence of plurisubharmonic functions defined on Euclidean neighborhoods of $\Omega$.

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Nguyen Xuan Hong, Hoang Van Can. 2018-01-25. On the approximation of weakly plurifinely plurisubharmonic functions. https://arxiv.org/abs/1801.08342

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