Subextension and approximation of $m$-subharmonic functions with given boundary values

Authors

  • Hichame Amal Department of Mathematics, Laboratory LaREAMI, Regional Centre of Trades of Education and Training, Kenitra, Morocco
  • Ayoub El Gasmi Department of Mathematics, Faculty of Sciences, Ibn Tofail University, Kenitra, Morroco

DOI:

https://doi.org/10.3842/umzh.v77i2.8215

Keywords:

Subextension of $m$-subharmonic functions. $m$-hyperconvex domain. Maximal $m$-subharmonic function. Approximation.

Abstract

UDC 517.5

We establish a result on subextension of $m$-subharmonic functions  in the class $\mathcal{F}_m(\Omega,f)$  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.

References

The full version of this paper will be published in Ukrainian Mathematical Journal, Vol. 77, No. 2, 2025.

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Published

04.11.2025

Issue

Vol. 77 No. 2 (2025)

Section

Research articles

License

Copyright (c) 2025 Hichame Amal, Ayoub El Gaсmi

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Amal, Hichame, and Ayoub El Gasmi. “Subextension and Approximation of $m$-Subharmonic Functions With Given Boundary Values”. Ukrains’kyi Matematychnyi Zhurnal, vol. 77, no. 2, Nov. 2025, p. 152, https://doi.org/10.3842/umzh.v77i2.8215.