Czechoslovak Mathematical Journal, Vol. 72, No. 2, pp. 433-447, 2022
On the Choquet integrals associated to Bessel capacities
Keng Hao Ooi
Received December 6, 2020. Published online August 4, 2021.
Abstract: 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.
Keywords: Choquet integral; Bessel capacity; Hardy-Littlewood maximal function
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Affiliations: Keng Hao Ooi, Department of Mathematics, Louisiana State University, 303 Lockett Hall, Baton Rouge, LA 70803, USA, e-mail: kooi1@lsu.edu
