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Resultats globals: 4 registres trobats en 0.01 segons.
Articles, 4 registres trobats
Articles 4 registres trobats  
1.
19 p, 335.6 KB Existence of principal values of some singular integrals on Cantor sets, and Hausdorff dimension / Cufí Sobregrau, Julià, 1945- (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Donaire Benito, Juan Jesús (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Mattila, Pertti (University of Helsinki. Department of Mathematics and Statistics) ; Verdera, Joan (Centre de Recerca Matemàtica)
Consider a standard Cantor set in the plane of Hausdorff dimension 1. If the linear density of the associated measure µ vanishes, then the set of points where the principal value of the Cauchy singular integral of µ exists has Hausdorff dimension 1. [...]
2023 - 10.2140/pjm.2023.326.285
Pacific Journal of Mathematics, Vol. 326, no. 2 (Oct. 2023) , p. 285-300  
Registre complet - Creative Commons
2.
10 p, 191.4 KB Singular integrals and rectifiability / Mattila, Pertti (University of Jyväskylä. Department of Mathematics and Statistics)
We shall discuss singular integrals on lower dimensional subsets of Rn. A survey of this topic was given in [M4]. The first part of this paper gives a quick review of some results discussed in [M4] and a survey on some newer results and open problems. [...]
2002 - 10.5565/PUBLMAT_Esco02_09
Publicacions matemàtiques, Vol. Extra (2002) , p. 199-208  
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3.
27 p, 259.5 KB On the analytic capacity gamma ɣ+ / Tolsa Domènech, Xavier (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
The analytic capacity ‚ɣ+ is a version of the usual analytic capacity ‚ɣ which is generated by Cauchy potentials of positive measures. Some recent results have shown the importance ‚ɣ+ of for the understanding of the metric-geometric properties of ‚ɣ. [...]
2002 - 10.1512/iumj.2002.51.2202
Indiana University mathematics journal, Vol. 51, No. 2 (2002) , p. 317-343  
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4.
26 p, 251.5 KB Uniqueness theorems for Cauchy integrals / Melnikov, Mark (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Poltoratski, Alexei (Texas A&M University. Department of Mathematics) ; Volberg, Alexander (Michigan State University. Department of Mathematics)
If µ is a finite complex measure in the complex plane C we denote by Cµ its Cauchy integral defined in the sense of principal value. The measure µ is called reflectionless if it is continuous (has no atoms) and Cµ = 0 at µ-almost every point. [...]
2008 - 10.5565/PUBLMAT_52208_03
Publicacions matemàtiques, V. 52 n. 2 (2008) p. 289-314  
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