Abstract
For a smooth measure on an infinite-dimensional space, a “successful-filtration” condition is introduced and the Markov uniqueness and Rademacher theorem for measures satisfying this condition are proved. Some sufficient conditions, such as the well-known Hoegh-Krohn condition, are also considered. Examples demonstrating connections between these conditions and applications to convex measures are given.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 57, No. 2, pp. 170–186, February, 2005.
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Kulik, A.M. Markov Uniqueness and Rademacher Theorem for Smooth Measures on an Infinite-Dimensional Space under Successful-Filtration Condition. Ukr Math J 57, 200–220 (2005). https://doi.org/10.1007/s11253-005-0182-y
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DOI: https://doi.org/10.1007/s11253-005-0182-y