On Smoothness of the Green Function for the Complement of a Rarefied Cantor-Type Set
Author
Altun, M.
Goncharov, A.
Date
2011Source Title
Constructive Approximation
Print ISSN
0176-4276
Electronic ISSN
1432-0940
Publisher
Springer Verlag
Volume
33
Issue
2
Pages
265 - 271
Language
English
Type
ArticleItem Usage Stats
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Abstract
Smoothness of the Green functions for the complement of rarefied Cantor-type sets is described in terms of the function Φ(δ)=(1/log 1/δ) that gives the logarithmic measure of sets. Markov's constants of the corresponding sets are evaluated. © 2010 Springer Science+Business Media, LLC.