Riesz Transform Characterizations of H¹ and \rm BMO on Ahlfors Regular Sets with Small Oscillations

2025/03/23 by Mitrea, Dorina, Mitrea, Irina, Mitrea, Marius
#Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2503.18232

Abstract

We employ the Riesz transform as a means for describing geometric properties of sets in ℝⁿ, and study the extent to which they can be used to characterize function spaces defined on said sets. In particular, characterizations of the end-point spaces on the Lebesgue scale L^p with 1

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