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<p>We prove the boundedness of the fractional maximal operator and the Riesz potential operator on variable exponent Stummel spaces. The main results rely on refined uniform weighted inequalities involving special weights with non-standard growth.</p>

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Fractional integral operators in variable exponent Stummel spaces

  • 期刊论文

  • 发表日期：

    2025年1月15日

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  • Alexandre Almeida,
  • Humberto Rafeiro

摘要

We prove the boundedness of the fractional maximal operator and the Riesz potential operator on variable exponent Stummel spaces. The main results rely on refined uniform weighted inequalities involving special weights with non-standard growth.