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<p>The strong type boundedness of Choquet-type maximal function associated with the weighted local Riesz capacities is tackled. The weights are assumed to be of local Muckenhoupt class. The technique of proof uses interpolation and fundamental properties of nonlinear potential.</p>

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Strong type estimates of maximal functions in Choquet integral spaces associated with weighted local Riesz capacities

  • 期刊论文

  • 发表日期：

    2025年6月3日

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  • Keng Hao Ooi

摘要

The strong type boundedness of Choquet-type maximal function associated with the weighted local Riesz capacities is tackled. The weights are assumed to be of local Muckenhoupt class. The technique of proof uses interpolation and fundamental properties of nonlinear potential.