On Hausdorff content maximal operator and Riesz potential for non-measurable functions
Abstract
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.
Fields of Study & Subjects
Advanced Harmonic Analysis Research
Mathematical and Theoretical Analysis
Advanced Banach Space Theory
Publication details
- Journal / source
- Journal of Inequalities and Applications
- Volume
- 2026
- Issue
- 1
- Publication date
- 9 February 2026
- Language
- EN