Logarithmic dimension and bases in Whitney spaces

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 $\mathcal{E}(K)$.

DOI

10.3906/mat-2009-30

Keywords

Topological bases, Whitney spaces, Hausdorff dimension, logarithmic capacity

First Page

1580

Last Page

1591

Recommended Citation

GONCHAROV, ALEXANDER and TEZEL, YASEMİN ŞENGÜL (2021) "Logarithmic dimension and bases in Whitney spaces," Turkish Journal of Mathematics: Vol. 45: No. 4, Article 7. https://doi.org/10.3906/mat-2009-30
Available at: https://journals.tubitak.gov.tr/math/vol45/iss4/7