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language
eng
Author
Hatano, Kaoru
Aikawa, Hiroaki
Description
We estimate the HausdorR measures and the packing premeasures of symmetric generalized Cantor sets in the d-dimensional Euclidean space R^d. Two simple estimations will be obtained. Let φ_1 and φ_2 be two measure functions. Suppose limt_(t→0) φ_2(t)/φ_1(t) = 0, limt_(t→0) φ_2(t)/t^d = ∞, and φ_1(t)/t^d is strictly decreasing as t increases. Then we can construct a compact set K in R^d such that 0 < Λ_(φ1) (K) < ∞ and 0 < φ_2 - P(K) < ∞ with the aid of the above estimations.
Subject
Hausdorff measure
packing dimension
Journal Title
島根大学総合理工学部紀要. シリーズB
Volume
37
Start Page
5
End Page
14
ISSN
13427121
Published Date
2004-03
NCID
AA11157123
Publisher
島根大学総合理工学部
NII Type
Departmental Bulletin Paper
Format
PDF
Text Version
出版社版
OAI-PMH Set
Interdisciplinary Graduate School of Science and Engineering
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