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Keywords:
Choquet integral; Bessel capacity; Hardy-Littlewood maximal function
Choquet integral; Bessel capacity; Hardy-Littlewood maximal function
Summary:
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.
References:
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