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Capacity and stability on some Cegrell classes of m-subharmonic functions
Journal article   Peer reviewed

Capacity and stability on some Cegrell classes of m-subharmonic functions

Jawhar Hbil and Mohamed Zaway
Collectanea mathematica (Barcelona)
29/08/2022
DOI: https://doi.org/10.1007/s13348-022-00374-5

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
The aim of this paper is to show some equivalent conditions to the convergence in m-capacity for a sequence of m-subharmonic functions based on its Hessian measure. As an application, we prove a stability theorem which is analogous to Cegrell and Kolodziej theorem from [14].

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