Geodesic
Analytic capacity: discrete approach and curvature of measure
Sbornik. Mathematics, Tome 186 (1995) no. 6, pp. 827-846

Voir la notice de l'article provenant de la source Math-Net.Ru

Certain discrete 'computable' quantities are introduced, and their interconnections and relations with analytic capacity are found out. The concept of curvature of a measure is introduced, which emerges naturally in the computations of the $L^2$-norm of the Cauchy transform of this measure. A lower bound on the analytic capacity, which uses the measure curvature and which has, to this extent, a geometric nature, is obtained. 
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     author = {M. S. Mel'nikov},
     title = {Analytic capacity: discrete approach and curvature of measure},
     journal = {Sbornik. Mathematics},
     pages = {827--846},
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     volume = {186},
     number = {6},
     year = {1995},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1995_186_6_a3/}
}
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M. S. Mel'nikov. Analytic capacity: discrete approach and curvature of measure. Sbornik. Mathematics, Tome 186 (1995) no. 6, pp. 827-846. http://geodesic.mathdoc.fr/item/SM_1995_186_6_a3/