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Characterization of weakly porous sets via dyadic coverings

Functional Analysis 2024-10-14 v2

Abstract

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

Keywords

Cite

@article{arxiv.2407.03675,
  title  = {Characterization of weakly porous sets via dyadic coverings},
  author = {Andrei Vasin},
  journal= {arXiv preprint arXiv:2407.03675},
  year   = {2024}
}

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11 pages