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<p>We consider the class of weakly porous sets in Euclidean spaces. As our main goal, we give a precise characterization of these sets in terms of dyadic coverings. Also, we obtain a Carleson embedding inequality for porous sets.</p>

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On characterization of weakly porous sets via dyadic coverings

  • 期刊论文

  • 发表日期：

    2025年10月27日

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  • Andrei V. Vasin

摘要

We consider the class of weakly porous sets in Euclidean spaces. As our main goal, we give a precise characterization of these sets in terms of dyadic coverings. Also, we obtain a Carleson embedding inequality for porous sets.