Journal article
Vitali systems in R^n with irregular sets
Vitali type theorems are results stating that out of a given family of sets one can select pairwise disjoint sets which fill out a "large" region. Usually one works with "regular" sets such as balls. We shall establish results with sets of a more complicated geometrical structure, e.g., Cantor-like sets are allowed.
The results are related to a generalisation of the classical notion of a differentiation basis.l They concern real n-space R^n and Lebesgue measure.
Language: | English |
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Publisher: | DANSK MATEMATISK FORENING / ÍSLENZKA STÆRÐFRAÆÐAFÉLAGIÐ / NORSK MATEMATISK FORENING |
Year: | 1996 |
Pages: | 86-100 |
ISSN: | 19031807 and 00255521 |
Types: | Journal article |
DOI: | 10.7146/math.scand.a-12594 |