By Naoya Hatano and others

It is shown that the fractional integral operator *I_{\alpha}*, *0<\alpha<n*, and the fractional maximal operator *M_{\alpha}*, *0\le\alpha<n*, are bounded on weak Choquet spaces with respect to Hausdorff content. We also investigate these operators on Choquet-Morrey spaces. These results are extensions of the previous works due to Adams, Orobitg and Verdera,... Show more

August 2, 2023

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Choquet integrals, Hausdorff content and fractional operators

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