Work

The Boundedness of the Fractional Maximal Operator on Variable Lorentz-Karamata Spaces

Year: 2026

Type: article

Abstract: It turned out in recent papers that the fractional maximal operator $$M_{\gamma ,s,\alpha }$$ M γ , s , α has an important role in harmonic analysis. In this article, we prove that, under some conditions, $$M_{\gamma ,s,\alpha }$$ M γ , s , α is bounded from variable martingale Hardy-Lorentz spaces to variable Lorentz-Karamata spaces. As an application, the boundedness of the classical fractional maximal operator $$M_\alpha $$ M α and $$M_{\gamma ,s,\alpha }$$ M γ , s , α on variable Lorentz-Karamata spaces are also discussed. Our results are new even for the classical fractional maximal operator.

Source: Bulletin of the Malaysian Mathematical Sciences Society

DOI: 10.1007/s40840-026-02094-6

Authors: Zhiwei Hao, Ferenc Weisz

Institutions: Hunan University of Science and Technology, Eötvös Loránd University

Language: English

Topic: Advanced Harmonic Analysis Research

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funder: Scientific Research Foundation of Hunan Provincial Education Department