An HK $$_r$$ -Integrable Function Which is P $$_s$$ -Integrable for no s

IF 1.1 3区数学 Q1 MATHEMATICS

Results in Mathematics Pub Date : 2024-08-19 DOI:10.1007/s00025-024-02251-y

Piotr Sworowski

引用次数: 0

Abstract

Given arbitrary $r\ge 1$, we construct an HK$_r$-integrable function which is not P$_1$-integrable. This is an extension of a recently published construction [Musial, P., Skvortsov, V., Tulone, F.: The HK$_r$-integral is not contained in the P$_r$-integral. Proceedings of the American Mathematical Society 150(5), 2107–2114 (2022)].

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对于无 s 的 P $$_s$$ 可包容的 HK $$_r$$ 可包容函数

给定任意的（r\ge 1\），我们构造了一个不是P（_1\）可积分的HK（_r\）可积分函数。这是最近发表的一个构造的扩展[Musial, P., Skvortsov, V., Tulone, F.: The HK$_r$-integral is not contained in the P$_r$-integral.Proceedings of the American Mathematical Society 150(5), 2107-2114 (2022)].

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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来源期刊

Results in Mathematics 数学-数学

CiteScore

1.90

自引率

4.50%

发文量

198

审稿时长

6-12 weeks

期刊介绍： Results in Mathematics (RM) publishes mainly research papers in all fields of pure and applied mathematics. In addition, it publishes summaries of any mathematical field and surveys of any mathematical subject provided they are designed to advance some recent mathematical development.