Year: 2024
Type: article
Abstract: Given arbitrary $$r\ge 1$$ r ≥ 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)].
Source: Results in Mathematics
Author: Piotr Sworowski
Institution: Kazimierz Wielki University in Bydgoszcz
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $2,990
OpenAlex ID: W4401701950