کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5775324 1413580 2017 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Mityagin's extension problem. Progress report
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Mityagin's extension problem. Progress report
چکیده انگلیسی
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.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 448, Issue 1, 1 April 2017, Pages 357-375
نویسندگان
, ,