The Hausdorff Dimension Distribution of Finite Measures in Euclidean Space
1986 ◽
Vol 38
(6)
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pp. 1459-1484
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Keyword(s):
Let E be a Borel set of RN. The α-outer Hausdorff measure of E has been defined to bewhereand each Bi is a closed ball. d(Bi) denotes the diameter of Bi.It is easily seen that the same value Hα(E) is obtained if we consider coverings of E by open balls or by balls which may be either open or closed.By dim(E) we will mean the usual Hausdorff-Besicovitch dimension of E, where
1985 ◽
Vol 26
(2)
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pp. 115-120
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2019 ◽
Vol 40
(12)
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pp. 3217-3235
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1946 ◽
Vol 42
(1)
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pp. 15-23
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Keyword(s):
2015 ◽
Vol 158
(3)
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pp. 419-437
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1977 ◽
Vol 81
(3)
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pp. 377-385
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Keyword(s):
2018 ◽
Vol 2020
(19)
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pp. 5797-5813
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Keyword(s):
1992 ◽
Vol 111
(3)
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pp. 577-584
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Keyword(s):
Keyword(s):