Displaying similar documents to “On the equilibrium of signed measures”

Two problems on doubling measures.

Robert Kaufman, Jang-Mei Wu (1995)

Revista Matemática Iberoamericana

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Doubling measures appear in relation to quasiconformal mappings of the unit disk of the complex plane onto itself. Each such map determines a homeomorphism of the unit circle on itself, and the problem arises, which mappings f can occur as boundary mappings?

Singular measures and the key of G.

Stephen M. Buckley, Paul MacManus (2000)

Publicacions Matemàtiques

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We construct a sequence of doubling measures, whose doubling constants tend to 1, all for which kill a G set of full Lebesgue measure.

Cartan's balayage theory for hyperbolic Riemann surfaces

Ralph E. Edwards (1958)

Annales de l'institut Fourier

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L’auteur détaille l’extension de la méthode de balayage de Cartan à des potentiels de Green, sur une surface de Riemann hyperbolique. Une extension des méthodes de balayage de Frostman, de la Vallée-Poursin, lui permet de démontrer que l’énergie de toute mesure est positive, puis d’obtenir l’extension en vue.