Maximal subextension and stability on m-capacity of maximal subextension of m-subharmonic functions with given boundary values

2023/11/21 by Nguyen Van Phu, Van Phu, Nguyen
Mathematics · #32U05 #32W20 #Complex Variables (math.CV) #FOS: Mathematics #Fixed Point Theorems Analysis #Holomorphic and Operator Theory #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.2311.12301

openalex publication_date 2023/11/21 · openalex created_date 2023/11/23 · openalex updated_date 2026/07/28

Abstract

In this paper, we study maximal subextension of m-subharmonic functions with given boundary values. We also prove stability on m-capacity of maximal subextension of m-subharmonic functions with given boundary values.

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• Maximal subextension and approximation of m-subharmonic function
• Subextension and approximation of m-subharmonic functions with given boundary values
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• Capacities and Hessians in a class of m-subharmonic functions