Logarithmic dimension and bases in Whitney spaces

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Logarithmic_dimension_and_bases_in_Whitney_spaces.pdf (181.39 KB)

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2021-07-27

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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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http://hdl.handle.net/11693/77471

Published Version (Please cite this version)

https://doi.org/10.3906/mat-2009-30

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Scholarly Publications - Mathematics

Language

English

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Article