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 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.

References

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

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Published

28.03.2025

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, Mar. 2025, p. 152, https://doi.org/10.3842/umzh.v77i2.8215.