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

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2024年8月19日

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Piotr Sworowski

摘要

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

An HK\(_r\)-Integrable Function Which is P\(_s\)-Integrable for no s

摘要