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arXiv · 2606.19126

On weighted estimates for fractional operators and applications to Hardy-type inequalities

Diego Maldonado·Javier Soria
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Abstract

New necessary and sufficient conditions for two-weight estimates for fractional maximal and integral operators are established by means of Harnack-type estimates for Muckenhoupt weights. Applications include weighted Hardy inequalities with weights based on the Hardy-Littlewood maximal operator.

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Diego Maldonado, Javier Soria. 2026-06-17. On weighted estimates for fractional operators and applications to Hardy-type inequalities. https://arxiv.org/abs/2606.19126

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