### 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 $\mathscr{H}$–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...

Gilles Hargé (2005)

Annales de l'I.H.P. Probabilités et statistiques

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James Roberts (1977)

Studia Mathematica

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V. Babalola (1974)

Studia Mathematica

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Libor Veselý (2008)

Acta Universitatis Carolinae. Mathematica et Physica

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Lynn Williams, J. Wells, T. Hayden (1971)

Studia Mathematica

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