Article ID Journal Published Year Pages File Type
5775324 Journal of Mathematical Analysis and Applications 2017 19 Pages PDF
Abstract
Given a compact set K⊂Rd, 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)⟶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.
Related Topics
Physical Sciences and Engineering Mathematics Analysis
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