Mityagin’s extension problem. Progress report
| dc.citation.epage | 375 | en_US |
| dc.citation.issueNumber | 1 | en_US |
| dc.citation.spage | 357 | en_US |
| dc.citation.volumeNumber | 448 | en_US |
| dc.contributor.author | Goncharov, A. | en_US |
| dc.contributor.author | Ural, Z. | en_US |
| dc.date.accessioned | 2019-01-25T06:39:19Z | |
| dc.date.available | 2019-01-25T06:39:19Z | |
| dc.date.issued | 2017-04-01 | en_US |
| dc.department | Department of Mathematics | en_US |
| dc.description.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. | en_US |
| dc.description.provenance | Submitted by Mandana Moftakhari (mandana.mir@bilkent.edu.tr) on 2019-01-25T06:39:19Z No. of bitstreams: 1 Mityagin's_extension_problem._Progress_report.pdf: 555095 bytes, checksum: 6175797cd2c2366f27117bc7de04c768 (MD5) | en |
| dc.description.provenance | Made available in DSpace on 2019-01-25T06:39:19Z (GMT). No. of bitstreams: 1 Mityagin's_extension_problem._Progress_report.pdf: 555095 bytes, checksum: 6175797cd2c2366f27117bc7de04c768 (MD5) Previous issue date: 2017-04-01 | en |
| dc.embargo.release | 2019-04-01 | en_US |
| dc.identifier.doi | 10.1016/j.jmaa.2016.11.001 | en_US |
| dc.identifier.eissn | 1096-0813 | |
| dc.identifier.issn | 0022-247X | |
| dc.identifier.uri | http://hdl.handle.net/11693/48347 | |
| dc.language.iso | English | en_US |
| dc.publisher | Elsevier | en_US |
| dc.relation.isversionof | https://doi.org/10.1016/j.jmaa.2016.11.001 | en_US |
| dc.source.title | Journal of Mathematical Analysis and Applications | en_US |
| dc.subject | Whitney functions | en_US |
| dc.subject | Extension problem | en_US |
| dc.subject | Hausdorff measures | en_US |
| dc.subject | Markov's factors | en_US |
| dc.title | Mityagin’s extension problem. Progress report | en_US |
| dc.type | Article | en_US |
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