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:	07 Nov 2023 00:10
URI:	https://orca.cardiff.ac.uk/id/eprint/145677

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