Geodesic
Generalized fractional integral operators on weak Choquet spaces over quasi-metric measure spaces
Czechoslovak Mathematical Journal, Tome 74 (2024) no. 3, pp. 905-913
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We prove the boundedness of the generalized fractional maximal operator $M_{\alpha }$ and the generalized fractional integral operator $I_{\alpha }$ on weak Choquet spaces with respect to Hausdorff content over quasi-metric measure spaces.
We prove the boundedness of the generalized fractional maximal operator $M_{\alpha }$ and the generalized fractional integral operator $I_{\alpha }$ on weak Choquet spaces with respect to Hausdorff content over quasi-metric measure spaces.
DOI : 10.21136/CMJ.2024.0133-24
Classification : 28A12, 42B25, 46E30
Keywords: fractional integral operator; quasi-metric measure space; Hausdorff content; weak Choquet space; Ahlfors regular 
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Futamura, Toshihide; Shimomura, Tetsu. Generalized fractional integral operators on weak Choquet spaces over quasi-metric measure spaces. Czechoslovak Mathematical Journal, Tome 74 (2024) no. 3, pp. 905-913. doi: 10.21136/CMJ.2024.0133-24

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