Quasi-equivalence of bases in some Whitney spaces

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2021-05-18

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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.

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Canadian Mathematical Bulletin

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Cambridge University Press

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Published Version (Please cite this version)

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English