Subextension and approximation of $m$-subharmonic functions with given boundary values
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 def...
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| Дата: | 2025 |
|---|---|
| Автори: | , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2025
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/8215 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1865794463768510464 |
|---|---|
| author | Amal, Hichame El Gasmi, Ayoub El Gaсmi, Ayoub |
| author_facet | Amal, Hichame El Gasmi, Ayoub El Gaсmi, Ayoub |
| author_institution_txt_mv | [
{
"author": "Hichame Amal",
"institution": "Department of Mathematics, Laboratory LaREAMI, Regional Centre of Trades of Education and Training, Kenitra, Morocco"
},
{
"author": "Ayoub El Gasmi",
"institution": "Department of Mathematics, Faculty of Sciences, Ibn Tofail University, Kenitra, Morroco"
}
] |
| author_sort | Amal, Hichame |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2025-11-05T09:34:38Z |
| description | 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. |
| doi_str_mv | 10.3842/umzh.v77i2.8215 |
| first_indexed | 2026-03-24T03:37:18Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-8215 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:37:18Z |
| publishDate | 2025 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-82152025-11-05T09:34:38Z Subextension and approximation of $m$-subharmonic functions with given boundary values Subextension and approximation of $m$-subharmonic functions with given boundary values Amal, Hichame El Gasmi, Ayoub El Gaсmi, Ayoub Subextension of $m$-subharmonic functions. $m$-hyperconvex domain. Maximal $m$-subharmonic function. Approximation. 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. УДК 517.5 Підрозширення та апроксимація $m$-субгармонічних функцій із заданими граничними значеннями Встановлено результат про підрозширення $m$-субгармонічних функцій у класі $\mathcal{F}_m(\Omega,f)$ без зміни мір Гессе. Як застосування, $m$-субгармонічна функція із заданим граничним значенням апроксимується зростаючою послідовністю $m$-субгармонічних функцій, визначених у більших областях. Institute of Mathematics, NAS of Ukraine 2025-11-04 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/8215 10.3842/umzh.v77i2.8215 Ukrains’kyi Matematychnyi Zhurnal; Vol. 77 No. 2 (2025); 152 Український математичний журнал; Том 77 № 2 (2025); 152 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/8215/10345 Copyright (c) 2025 Hichame Amal, Ayoub El Gaсmi |
| spellingShingle | Amal, Hichame El Gasmi, Ayoub El Gaсmi, Ayoub Subextension and approximation of $m$-subharmonic functions with given boundary values |
| title | Subextension and approximation of $m$-subharmonic functions with given boundary values |
| title_alt | Subextension and approximation of $m$-subharmonic functions with given boundary values |
| title_full | Subextension and approximation of $m$-subharmonic functions with given boundary values |
| title_fullStr | Subextension and approximation of $m$-subharmonic functions with given boundary values |
| title_full_unstemmed | Subextension and approximation of $m$-subharmonic functions with given boundary values |
| title_short | Subextension and approximation of $m$-subharmonic functions with given boundary values |
| title_sort | subextension and approximation of $m$-subharmonic functions with given boundary values |
| topic_facet | Subextension of $m$-subharmonic functions. $m$-hyperconvex domain. Maximal $m$-subharmonic function. Approximation. |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8215 |
| work_keys_str_mv | AT amalhichame subextensionandapproximationofmsubharmonicfunctionswithgivenboundaryvalues AT elgasmiayoub subextensionandapproximationofmsubharmonicfunctionswithgivenboundaryvalues AT elgasmiayoub subextensionandapproximationofmsubharmonicfunctionswithgivenboundaryvalues |