Thickness measures for Cantor sets.
Astels, S. (1999)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Displaying similar documents to “On the connection between Hausdorff measures and generalized capacity”
Thickness measures for Cantor sets.
On the role of an intersection property in measure theory - I
Schaerf, H.M. (1949)
Portugaliae mathematica
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Negligible sets and good functions on polydiscs
Kohur Gowrisankaran (1979)
Annales de l'institut Fourier
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A notion of negligible sets for polydiscs is introduced. Some properties of non-negligible sets are proved. These results are used to construct good and good inner functions on polydiscs.
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Richard Bumby, Erik Ellentuck (1969)
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Normal and category measures on topological spaces
Flachsmeyer, J.
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Some typical properties of dimensions of sets and measures.
Myjak, Józef (2005)
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Research Article. Multiscale Analysis of 1-rectifiable Measures II: Characterizations
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...
The Sobolev capacity on metric spaces.
Kinnunen, Juha, Martio, Olli (1996)
Annales Academiae Scientiarum Fennicae. Mathematica
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