全局$P$极值函数的乘积性质

IF 0.3 4区数学 Q4 MATHEMATICS

Mathematica Scandinavica Pub Date : 2021-11-30 DOI:10.7146/math.scand.a-129007

N. Q. Dieu, T. V. Long

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引用次数: 0

摘要

在这篇笔记中，我们建立了$P$极值函数的一个乘积性质，其精神与J. Siciak在Ann中给出的原乘积公式相同。Polon。数学。， 39(1981)， 175-211。因此，我们得到了这类极值函数的子层次集的凸性。此外，我们还推广了L. Bos和N. Levenberg在Comput中建立的$P$极值函数的乘积性质。功能的方法。理论18(2018)，361-388，后来由N. Levenberg和M. Perera在当代数学743(2020)，11-19中，其中不需要对$P$进行限制。

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Product property of global $P$-extremal functions

In this note, we establish a product property for $P$-extremal functions in the same spirit as the original product formula due to J. Siciak in Ann. Polon. Math., 39 (1981), 175–211. As a consequence, we obtain convexity for the sublevel sets of such extremal functions. Moreover, we also generalize the product property of $P$-extremal functions established by L. Bos and N. Levenberg in Comput. Methods Funct. Theory 18 (2018), 361–388, and later by N. Levenberg and M. Perera, in Contemporary Mathematics 743 (2020), 11–19, in which no restriction on $P$ is needed.

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来源期刊

Mathematica Scandinavica 数学-数学

CiteScore

0.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Mathematica Scandinavica is a peer-reviewed journal in mathematics that has been published regularly since 1953. Mathematica Scandinavica is run on a non-profit basis by the five mathematical societies in Scandinavia. It is the aim of the journal to publish high quality mathematical articles of moderate length. Mathematica Scandinavica publishes about 640 pages per year. For 2020, these will be published as one volume consisting of 3 issues (of 160, 240 and 240 pages, respectively), enabling a slight increase in article pages compared to previous years. The journal aims to publish the first issue by the end of March. Subsequent issues will follow at intervals of approximately 4 months. All back volumes are available in paper and online from 1953. There is free access to online articles more than five years old.