Geodesic
Quasi-equivalence of bases in some Whitney spaces
Canadian mathematical bulletin, Tome 65 (2022) no. 1, pp. 106-115

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DOI

If the logarithmic dimension of a Cantor-type set K is smaller than $1$, then the Whitney space $\mathcal {E}(K)$ possesses an interpolating Faber basis. For any generalized Cantor-type set K, a basis in $\mathcal {E}(K)$ can be presented by means of functions that are polynomials locally. This gives a plenty of bases in each space $\mathcal {E}(K)$. We show that these bases are quasi-equivalent.
DOI : 10.4153/S0008439521000114
Mots-clés : Topological bases, Whitney spaces, quasi-equivalence 
Goncharov, Alexander; Şengül, Yasemin. Quasi-equivalence of bases in some Whitney spaces. Canadian mathematical bulletin, Tome 65 (2022) no. 1, pp. 106-115. doi: 10.4153/S0008439521000114
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     title = {Quasi-equivalence of bases in some {Whitney} spaces},
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     year = {2022},
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