D. V. Prokhorov, “On a weighted Sobolev space on real line”, Eurasian Math. J., 2017, том 8, номер 2,страницы 22

Эта публикация цитируется в 3 статьях

On a weighted Sobolev space on real line

D. V. Prokhorov^ab

^a Computing Center of Far Eastern Branch of Russian Academy of Sciences, 65 Kim Yu Chena St, 680000 Khabarovsk, Russia
^b Steklov Mathematical Institute, Russian Academy of Sciences, 8 Gubkina St, 119991 Moscow, Russia

Аннотация: A criterion of density of smooth functions in a weighted Sobolev space on real line is obtained. In one partial case an alternative description of the space associated with the weighted Sobolev space are given.

Ключевые слова и фразы: Sobolev space, density of smooth functions.

MSC: 46E35

Поступила в редакцию: 06.12.2016

Язык публикации: английский