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<p>This paper investigates the subextensions of <i>m</i>-subharmonic functions in weighted energy classes with given boundary values. These results are employed to approximate <i>m</i>-subharmonic functions in weighted energy classes by an increasing sequence of <i>m</i>-subharmonic functions defined on larger domains. In contrast to H. Amal’s prior work with plurisubharmonic functions, our approach does not require the continuous boundary condition on the closure of the original domain.</p>

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Approximation of m-subharmonic Functions in Weighted Energy Classes with Given Boundary Values

  • 期刊论文

  • 发表日期：

    2025年4月29日

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  • Van Phu Nguyen

摘要

This paper investigates the subextensions of m-subharmonic functions in weighted energy classes with given boundary values. These results are employed to approximate m-subharmonic functions in weighted energy classes by an increasing sequence of m-subharmonic functions defined on larger domains. In contrast to H. Amal’s prior work with plurisubharmonic functions, our approach does not require the continuous boundary condition on the closure of the original domain.