Logarithmic dimension and bases in Whitney spaces
Date
2021-07-27
Authors
Goncharov, Alexander
Şengül Tezel, Yasemin
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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).
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Turkish Journal of Mathematics
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Scientific and Technical Research Council of Turkey - TUBITAK,Turkiye Bilimsel ve Teknik Arastirma Kurumu
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Topological bases, Whitney spaces, Hausdorff dimension, Logarithmic capacity
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English