On the role of an intersection property in measure theory - I
Schaerf, H.M. (1949)
Portugaliae mathematica
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Schaerf, H.M. (1949)
Portugaliae mathematica
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B. Jessen (1948)
Colloquium Mathematicae
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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.
Igor Kluvánek (1977)
Annales de l'institut Fourier
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Every conical measure on a weak complete space is represented as integration with respect to a -additive measure on the cylindrical -algebra in . The connection between conical measures on and -valued measures gives then some sufficient conditions for the representing measure to be finite.
Ai Fan (1996)
Studia Mathematica
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We give a simple proof of the sufficiency of a log-lipschitzian condition for the uniqueness of G-measures and g-measures which were studied by G. Brown, A. H. Dooley and M. Keane. In the opposite direction, we show that the lipschitzian condition together with positivity is not sufficient. In the special case where the defining function depends only upon two coordinates, we find a necessary and sufficient condition. The special case of Riesz products is discussed and the Hausdorff dimension...
Edward Marczewski (1953)
Fundamenta Mathematicae
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Matthew Badger, Raanan Schul (2017)
Analysis and Geometry in Metric Spaces
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A measure is 1-rectifiable if there is a countable union of finite length curves whose complement has zero measure. We characterize 1-rectifiable Radon measures μ in n-dimensional Euclidean space for all n ≥ 2 in terms of positivity of the lower density and finiteness of a geometric square function, which loosely speaking, records in an L2 gauge the extent to which μ admits approximate tangent lines, or has rapidly growing density ratios, along its support. In contrast with the classical...
Krzysztof Ciesielski, Andrzej Pelc (1985)
Fundamenta Mathematicae
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Schaerf, H.M. (1951)
Portugaliae mathematica
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K. Urbanik (1973)
Studia Mathematica
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