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<p>The main result of this paper concerns the mapping properties of fractional geometric maximal functions on ball quasi-Banach function spaces. We obtain it by extending the Rubio de Francia extrapolation theory to the setting of ball quasi-Banach function spaces. As applications, we present the mapping properties of fractional geometric maximal functions on Lorentz spaces and Orlicz-slice spaces.</p>

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Fractional geometric maximal functions on ball quasi-Banach function spaces

  • 期刊论文

  • 发表日期：

    2026年4月27日

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  • Kwok-Pun Ho

摘要

The main result of this paper concerns the mapping properties of fractional geometric maximal functions on ball quasi-Banach function spaces. We obtain it by extending the Rubio de Francia extrapolation theory to the setting of ball quasi-Banach function spaces. As applications, we present the mapping properties of fractional geometric maximal functions on Lorentz spaces and Orlicz-slice spaces.