Mityagin’s extension problem. Progress report

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Date

2017-04-01

Authors

Goncharov, A.
Ural, Z.

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Abstract

Given a compact set K⊂Rd, let E(K)denote the space of Whitney jets onK. The compact set Kis said to have the extension property if there exists a continuous linear extension operator W:E(K) −→C∞(Rd). In 1961 B.S. Mityagin posed a problem to give a characterization of the extension property in geometric terms. We show that there is no such complete description in terms of densities of Hausdorff contents or related characteristics. Also the extension property cannot be characterized in terms of growth of Markov’s factors for the set.

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Journal of Mathematical Analysis and Applications

Publisher

Elsevier

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Published Version (Please cite this version)

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English