Автор(ы): Прохоров Д. В. (ВЦ ДВО РАН)Степанов В. Д. (ВЦ ДВО РАН)Ушакова Е. П. (ИПУ РАН, Лаборатория 45)Автор(ов): 3 Параметры публикацииТип публикации: Статья в журнале/сборникеНазвание: Characterization of function spaces associated with weighted Sobolev spaces of the first order on the real lineISBN/ISSN: 0036-0279DOI: 10.1070/RM9873Наименование источника: Russian Mathematical SurveysОбозначение и номер тома: Vol. 74, № 6Город: MoscowИздательство: Turpion - Moscow Ltd.Год издания: 2019Страницы: 1075–1115 АннотацияThe paper gives a brief overview of the results on the characterization problem of spaces associated with given functional classes. It is shown that for ideal and non-ideal structures the situation is generally different. In the latter case, the concept of the associated space is bifurcated. The main part of the paper presents a complete description of the functional spaces associated with weighted Sobolev spaces of the first-order on the real axis. Библиографическая ссылка: Прохоров Д.В., Степанов В.Д., Ушакова Е.П. Characterization of function spaces associated with weighted Sobolev spaces of the first order on the real line // Russian Mathematical Surveys. 2019. Vol. 74, № 6. С. 1075–1115.