Quasi-equivalence of bases in some Whitney spaces
Date
2021-05-18
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Source Title
Canadian Mathematical Bulletin
Print ISSN
0008-4395
Electronic ISSN
1496-4287
Publisher
Cambridge University Press
Volume
65
Issue
1
Pages
106 - 115
Language
English
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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.