Geodesic
On the Choquet integrals associated to Bessel capacities
Czechoslovak Mathematical Journal, Tome 72 (2022) no. 2, pp. 433-447
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We characterize the Choquet integrals associated to Bessel capacities in terms of the preduals of the Sobolev multiplier spaces. We make use of the boundedness of local Hardy-Littlewood maximal function on the preduals of the Sobolev multiplier spaces and the minimax theorem as the main tools for the characterizations.
We characterize the Choquet integrals associated to Bessel capacities in terms of the preduals of the Sobolev multiplier spaces. We make use of the boundedness of local Hardy-Littlewood maximal function on the preduals of the Sobolev multiplier spaces and the minimax theorem as the main tools for the characterizations.
DOI : 10.21136/CMJ.2021.0525-20
Classification : 31C15, 42B25
Keywords: Choquet integral; Bessel capacity; Hardy-Littlewood maximal function 
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Ooi, Keng Hao. On the Choquet integrals associated to Bessel capacities. Czechoslovak Mathematical Journal, Tome 72 (2022) no. 2, pp. 433-447. doi: 10.21136/CMJ.2021.0525-20

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