| Autor: |
Jawhar Hbil, Mohamed Zaway |
| Jazyk: |
angličtina |
| Rok vydání: |
2022 |
| Předmět: |
|
| Zdroj: |
AIMS Mathematics, Vol 7, Iss 5, Pp 9023-9038 (2022) |
| Druh dokumentu: |
article |
| ISSN: |
2473-6988 |
| DOI: |
10.3934/math.2022502?viewType=HTML |
| Popis: |
In this paper we treat the problem of connection between the convergence in $ m- $capacity and the convergence of the Hessian measure for a sequence$ f_j $ of $ m- $subharmonic functions. We prove first that, under some conditions, the convergence of $ f_j $ in capacity $ Cap_m $ implies the weak convergence of the Hessian measures $ H_m(f_j) $. Then we show that the converse sense of convergence is also true in some particular cases. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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