Singular invariant measures on the line
V. Mandrekar, M. Nadkarni, D. Patil (1970)
Studia Mathematica
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V. Mandrekar, M. Nadkarni, D. Patil (1970)
Studia Mathematica
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Maximilian Thaler (2000)
Studia Mathematica
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We determine the asymptotic behaviour of the iterates of the Perron-Frobenius operator for specific interval maps with an indifferent fixed point which gives rise to an infinite invariant measure.
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.
L. Rodríguez-Piazza, M. Romero-Moreno (1997)
Studia Mathematica
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We characterize some properties of a vector measure in terms of its associated Kluvánek conical measure. These characterizations are used to prove that the range of a vector measure determines these properties. So we give new proofs of the fact that the range determines the total variation, the σ-finiteness of the variation and the Bochner derivability, and we show that it also determines the (p,q)-summing and p-nuclear norm of the integration operator. Finally, we show that Pettis derivability...
S. R. Foguel (1973)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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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?
P. E. Zhidkov (1995)
Annales de l'I.H.P. Physique théorique
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