Characterization of weakly porous sets via dyadic coverings

2024/07/04 by Andrei V. Vasin, Vasin, Andrei
Decision Sciences · Engineering · #Advanced Numerical Analysis Techniques #FOS: Mathematics #Functional Analysis (math.FA) #Fuzzy and Soft Set Theory #Primary 28A75 #Secondary 28A80

paper · pdf · doi:10.48550/arxiv.2407.03675

openalex publication_date 2024/07/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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