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).

Source Title

Turkish Journal of Mathematics

Publisher

Scientific and Technical Research Council of Turkey - TUBITAK,Turkiye Bilimsel ve Teknik Arastirma Kurumu

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Keywords

Topological bases, Whitney spaces, Hausdorff dimension, Logarithmic capacity

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Published Version (Please cite this version)

Language

English