On Some Weighted Classes of m-Subharmonic Functions

In this paper, we study the class $\mathcal{E}_m(\Omega)$ of $m$-subharmonic functions introduced by Lu in [18]. We prove that the convergence of the Hessian measures is deduced from the convergence in $m$-capacity for the functions that belong to $\mathcal{E}_m(\Omega)$ satisfying certain additiona...

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Bibliographic Details
Date:2024
Main Authors: Zaway, Mohamed, Hbil, Jawhar
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна Національної академії наук України 2024
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Online Access:https://jmag.ilt.kharkiv.ua/index.php/jmag/article/view/1057
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Journal Title:Journal of Mathematical Physics, Analysis, Geometry

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Journal of Mathematical Physics, Analysis, Geometry