Convexity with given infinite weight sequences.
Zoltán Daróczy, Zsolt Páles (1987)
Stochastica
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Zoltán Daróczy, Zsolt Páles (1987)
Stochastica
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Cristian E. Gutiérrez, Annamaria Montanari (2004)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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In the euclidean setting the celebrated Aleksandrov-Busemann-Feller theorem states that convex functions are a.e. twice differentiable. In this paper we prove that a similar result holds in the Heisenberg group, by showing that every continuous –convex function belongs to the class of functions whose second order horizontal distributional derivatives are Radon measures. Together with a recent result by Ambrosio and Magnani, this proves the existence a.e. of second order horizontal derivatives...
Libor Veselý (2008)
Acta Universitatis Carolinae. Mathematica et Physica
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R. Ger (1970)
Fundamenta Mathematicae
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James Roberts (1977)
Studia Mathematica
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Ivanov, M., Zlateva, N. (2000)
Serdica Mathematical Journal
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We consider the question whether the assumption of convexity of the set involved in Clarke-Ledyaev inequality can be relaxed. In the case when the point is outside the convex hull of the set we show that Clarke-Ledyaev type inequality holds if and only if there is certain geometrical relation between the point and the set.
Zhao Linsheng (1993)
Collectanea Mathematica
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In this paper we generalize some results concerning bounded variation functions on sequence spaces.
T. Figiel, W. B. Johnson (1974)
Compositio Mathematica
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