The converse of the Fatou theorem for smooth measures.
Dubtsov, E.S. (2004)
Zapiski Nauchnykh Seminarov POMI
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Dubtsov, E.S. (2004)
Zapiski Nauchnykh Seminarov POMI
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Le Prince, Vincent (2008)
Electronic Communications in Probability [electronic only]
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Mateljević, M., Vuorinen, M. (2010)
Journal of Inequalities and Applications [electronic only]
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Rémi Rhodes, Vincent Vargas (2013)
Annales de l'I.H.P. Probabilités et statistiques
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In this paper, we study optimal transportation problems for multifractal random measures. Since these measures are much less regular than optimal transportation theory requires, we introduce a new notion of transportation which is intuitively some kind of multistep transportation. Applications are given for construction of multifractal random changes of times and to the existence of random metrics, the volume forms of which coincide with the multifractal random measures.
Susan G. Staples (1992)
Commentarii mathematici Helvetici
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Kolumbán, József, Soós, Anna, Varga, Ibolya (2003)
International Journal of Mathematics and Mathematical Sciences
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Rohde, S. (1997)
Annales Academiae Scientiarum Fennicae. Mathematica
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Jacob, Pierre, Oliveira, Paulo Eduardo (1995)
Portugaliae Mathematica
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Kalaj, David, Pavlović, Miroslav (2005)
Annales Academiae Scientiarum Fennicae. Mathematica
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Tommy Norberg (1989)
Mathematica Scandinavica
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Paweł Płonka (2016)
Annales Mathematicae Silesianae
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In this paper we want to show the existence of a form of asymptotic stability of random dynamical systems in the sense of L. Arnold using arguments analogous to those presented by T. Szarek in [6], that is showing it using conditions generalizing the notion of tightness of measures. In order to do that we use tightness theory for random measures as developed by H. Crauel in [2].
Berlinkov, A.G. (2005)
Zapiski Nauchnykh Seminarov POMI
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David Kalaj (2011)
Studia Mathematica
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We extend the Rado-Choquet-Kneser theorem to mappings with Lipschitz boundary data and essentially positive Jacobian at the boundary without restriction on the convexity of image domain. The proof is based on a recent extension of the Rado-Choquet-Kneser theorem by Alessandrini and Nesi and it uses an approximation scheme. Some applications to families of quasiconformal harmonic mappings between Jordan domains are given.
Staples, Susan G., Ward, Lesley A. (1998)
Annales Academiae Scientiarum Fennicae. Mathematica
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Jarosław Widomski, Magdalena Gregorczyk (2010)
Annales UMCS, Mathematica
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In this paper we consider a class of univalent orientation-preserving harmonic functions defined on the exterior of the unit disk which satisfy the condition [...] . We are interested in finding radius of univalence and convexity for such class and we find extremal functions. Convolution, convex combination, and explicit quasiconformal extension for this class are also determined.