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.
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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