Classes of Measures Generated by Capacities

2006/10/02 by Galia Dafni, G. Dafni, Dafni, G. +6
Mathematics · #35J #42A #46E #47B #Advanced Harmonic Analysis Research #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #Mathematical Approximation and Integration #math.AP #math.FA #msc:35J #msc:42A #msc:46E #msc:47B

paper · pdf · doi:10.48550/arxiv.math/0610079

arxiv created 2006/10/02 · openalex publication_date 2006/10/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce classes of measures in the half-space Rⁿ⁺¹₊, generated by Riesz, or Bessel, or Besov capacities in Rⁿ, and give a geometric characterization as Carleson-type measures.

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