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.

Downloads

Published

04.11.2025

Issue

Vol. 77 No. 2 (2025)

Section

Research articles

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.