An HK$_r$-integrable function which is P$_s$-integrable for no $s$

Given arbitrary $r \geq 1$ , we construct an HK $_{r}$ -integrable function which is not P $_{1}$ -integrable. This is an extension of Musial et al.\ construction published recently in [Musial, P., Skvortsov, V., Tulone, F.: The HK $_{r}$ -integral is not contained in the P $_{r}$ -integral. Proc. Amer. Math. Soc. {\bf150}(5), 2107–2114 (2022)].

An HK $_{r}$ -integrable function which is P $_{s}$ -integrable for no $s$

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An HK $_{r}$ -integrable function which is P $_{s}$ -integrable for no $s$

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An HKrr​-integrable function which is Pss​-integrable for no ss

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An HKrr​-integrable function which is Pss​-integrable for no ss

文献摘要

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An HK $_{r}$ -integrable function which is P $_{s}$ -integrable for no $s$

讲解博客

AI智能校验

An HK $_{r}$ -integrable function which is P $_{s}$ -integrable for no $s$

讲解博客

AI智能校验