Work

On Hausdorff content maximal operator and Riesz potential for non-measurable functions

Year: 2026

Type: article

Abstract: We introduce Riesz potentials for Lebesgue non-measurable functions by taking the integrals in the sense of Choquet with respect to Hausdorff content and prove boundedness results for these operators. Some earlier results are recovered or extended now using integrals taken in the sense of Choquet with respect to Hausdorff content. Some earlier results also for maximal operators are considered, but now for Lebesgue non-measurable functions.

Source: Journal of Inequalities and Applications

DOI: 10.1186/s13660-026-03440-9

Authors: Petteri Harjulehto, Ritva Hurri-Syrjänen

Institution: University of Helsinki

Language: English

Topic: Advanced Harmonic Analysis Research

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,190

Funder: Helsingin Yliopisto