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 $\mathcal{E}(K)$.

DOI

10.3906/mat-2009-30

Keywords

Topological bases, Whitney spaces, Hausdorff dimension, logarithmic capacity

First Page

1580

Last Page

1591

Recommended Citation

GONCHAROV, A, & TEZEL, Y. Ş (2021). Logarithmic dimension and bases in Whitney spaces. Turkish Journal of Mathematics 45 (4): 1580-1591. https://doi.org/10.3906/mat-2009-30

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