Authors: ALEXANDER GONCHAROV, YASEMİN ŞENGÜL TEZEL

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 $\mathcal{E}(K)$.

Keywords: Topological bases, Whitney spaces, Hausdorff dimension, logarithmic capacity

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