Complex Hessian-type equations in the weighted $m$-subharmonic class

• Date: 2023
• Main Authors: Zaway, Mohamed, Hbil, Jawhar
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2023
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/7122
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.5 We study the existence of a solution to a general type of complex Hessian equation on some Cegrell classes. For a given measure $\mu$ defined on an $m$-hyperconvex domain  $\Omega \subset \mathbb{C}^n,$  under  suitable condi...