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Quasi-equivalence of bases in some Whitney spaces

Goncharov, Alexander and Sengul, Yasemin 2022. Quasi-equivalence of bases in some Whitney spaces. Canadian Mathematical Bulletin 65 (1) , pp. 106-115. 10.4153/S0008439521000114

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Abstract

If the logarithmic dimension of a Cantor-type set K is smaller than 1 , then the Whitney space E(K) possesses an interpolating Faber basis. For any generalized Cantor-type set K, a basis in E(K) can be presented by means of functions that are polynomials locally. This gives a plenty of bases in each space E(K) . We show that these bases are quasi-equivalent.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Publisher: Cambridge University Press
ISSN: 0008-4395
Date of First Compliant Deposit: 23 November 2021
Date of Acceptance: 16 February 2021
Last Modified: 15 May 2022 21:22
URI: https://orca.cardiff.ac.uk/id/eprint/145677

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