若干Cegrell类$$m-$$ m -次调和函数的容量与稳定性

IF 0.7 2区数学 Q2 MATHEMATICS

Collectanea Mathematica Pub Date : 2022-08-29 DOI:10.1007/s13348-022-00374-5

Jawhar Hbil, Mohamed Zaway

引用次数: 0

摘要

本文的目的是根据$m-$次谐波函数序列的Hessian测度，给出其在$m-$容量中收敛的一些等价条件。作为应用，我们证明了一个类似于[14]中的Cegrell定理和Kołodziej定理的稳定性定理。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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 Kołodziej theorem from [14].

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来源期刊

Collectanea Mathematica 数学-数学

CiteScore

2.70

自引率

9.10%

发文量

审稿时长

>12 weeks

期刊介绍： Collectanea Mathematica publishes original research peer reviewed papers of high quality in all fields of pure and applied mathematics. It is an international journal of the University of Barcelona and the oldest mathematical journal in Spain. It was founded in 1948 by José M. Orts. Previously self-published by the Institut de Matemàtica (IMUB) of the Universitat de Barcelona, as of 2011 it is published by Springer.