Logarithmic dimension and bases in Whitney spaces
Date
2021-07-27
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Source Title
Turkish Journal of Mathematics
Print ISSN
1300-0098
Electronic ISSN
1303-6149
Publisher
Scientific and Technical Research Council of Turkey - TUBITAK,Turkiye Bilimsel ve Teknik Arastirma Kurumu
Volume
45
Issue
4
Pages
1580 - 1591
Language
English
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Abstract
We give a formula for the logarithmic dimension of the generalized Cantor-type set K . In the case when the logarithmic dimension of K is smaller than 1, we construct a Faber basis in the space of Whitney functions E(K).