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<p>We establish a result on subextension of <i>m</i>-subharmonic functions in the class <i>ℱ</i><sub><i>m</i></sub>(Ω, <i>f</i>) without changing the Hessian measures. As application, we approximate an <i>m</i>-subharmonic function with given boundary value by an increasing sequence of <i>m</i>-subharmonic functions defined in larger domains.</p>

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Subextension and Approximation of m-Subharmonic Functions with Given Boundary Values

  • 期刊论文

  • 发表日期：

    2025年7月1日

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  • Hichame Amal,
  • Ayoub El Gasmi

摘要

We establish a result on subextension of m-subharmonic functions in the class ℱm(Ω, f) without changing the Hessian measures. As application, we approximate an m-subharmonic function with given boundary value by an increasing sequence of m-subharmonic functions defined in larger domains.