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Characterization of weakly porous sets via dyadic coverings

Authors :
Vasin, Andrei
Publication Year :
2024

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.<br />Comment: 11 pages

Subjects

Subjects :
Mathematics - Functional Analysis
Primary 28A75, Secondary 28A80

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2407.03675
Document Type :
Working Paper

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