Approximation of $m$-subharmonic functions in weighted energy classes with given boundary values

Nguyen Van Phu

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arXiv · 2503.05855

Approximation of $m$-subharmonic functions in weighted energy classes with given boundary values

Nguyen Van Phu

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Abstract

We first study subextensions of m-subharmonic functions in weighted energy classes with given boundary values. The results are used to approximate an m-subharmonic function in weighted energy classes with given boundary values by an increasing sequence of m-subharmonic functions defined on larger domains.

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BibTeX RIS

Nguyen Van Phu. 2025-03-07. Approximation of $m$-subharmonic functions in weighted energy classes with given boundary values. https://arxiv.org/abs/2503.05855

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