Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5775324 | Journal of Mathematical Analysis and Applications | 2017 | 19 Pages |
Abstract
Given a compact set KâRd, let E(K) denote the space of Whitney jets on K. The compact set K is said to have the extension property if there exists a continuous linear extension operator W:E(K)â¶Câ(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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Physical Sciences and Engineering
Mathematics
Analysis
Authors
Alexander Goncharov, Zeliha Ural,