Abstract It turned out in recent papers that the fractional maximal operator M, ₒ, M γ, s, α has an important role in harmonic analysis. In this article, we prove that, under some conditions, M, ₒ, 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_ M α and M, ₒ, M γ, s, α on variable Lorentz-Karamata spaces are also discussed. Our results are new even for the classical fractional maximal operator.
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Zhiwei Hao
Ferenc Weisz
Bulletin of the Malaysian Mathematical Sciences Society
Eötvös Loránd University
Hunan University of Science and Technology
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Hao et al. (Wed,) studied this question.
www.synapsesocial.com/papers/69df2c50e4eeef8a2a6b15dc — DOI: https://doi.org/10.1007/s40840-026-02094-6