Resultados globales: 2 registros encontrados en 0.02 segundos.
Artículos, Encontrados 2 registros
Artículos Encontrados 2 registros  
1.
32 p, 706.4 KB An α-number characterization of Lp spaces on uniformly rectifiable sets / Azzam, Jonas (University of Edinburgh. School of Mathematics) ; Dąbrowski, Damian (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We give a characterization of Lp(σ) for uniformly rectifiable measures σ using Tolsa's α-numbers, by showing, for 1 < p < ∞ and f ∈ Lp(σ), that kfkLp(σ) ∼Z ∞0(αfσ(x, r) + |f|x,rασ(x, r))2drr12Lp(σ).
2023 - 10.5565/PUBLMAT6722313
Publicacions matemàtiques, Vol. 67 Núm. 2 (2023) , p. 819-850 (Articles)  
2.
16 p, 424.3 KB Tangents, rectifiability, and corkscrew domains / Azzam, Jonas (University of Edinburgh. School of Mathematics)
In a recent paper, Csörnyei and Wilson prove that curves in Euclidean space of σ-finite length have tangents on a set of positive H 1-measure. They also show that a higher dimensional analogue of this result is not possible without some additional assumptions. [...]
2018 - 10.5565/PUBLMAT6211808
Publicacions matemàtiques, Vol. 62 Núm. 1 (2018) , p. 161-176 (Articles)  

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