Доклады АМАН. Т. 21, №3. С. 21-33. ISSN 1726-9946
DOI: 10.47928/1726-9946-2021-21-3-21-33
МАТЕМАТИКА
| УДК 517.55+517.33 | Научная статья |
On some new sharp embedding theorems for multifunctional Herz-type and Bergman-type spaces in tubular domains over symmetric cones
1Shamoyan R.F., 2Tomashevskaya E.B.
Представлено академиком АМАН Н.Л. Пачулиа
Брянский государственный технический университет, Брянск
E-mail: 1rshamoyaan@gmail.com; 2Tomele@mail.ru
В работе вводится новый многофункциональный аналитический тип Герца со смешанной нормой пространства в трубчатых областях над симметричными конусами и приводятся для них новые точные теоремы вложения. Некоторые результаты являются новыми даже в случае однофункциональных голоморфных пространств. Некоторые новые связанные точные результаты для новых многофункциональных пространств типа Бергмана будут также предоставлены при одном условии на ядро Бергмана.
Ключевые слова: пространства Бергмана, пространства Герца, трубчатые области над симметричными конусами, теоремы вложения, аналитические функции.
© Р.Ф. Шамоян,
Е.Б. Томашевская, 2021
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Для цитирования. Shamoyan R.F., Tomashevskaya E.B. On some new sharp embedding theorems for multifunctional Herz-type and Bergman-type spaces in tubular domains over symmetric cones // Докл. Адыгской (Черкесской) международной академии наук. 2021. Т. 21, № 3. C. 21-33. DOI: 10.47928/1726-9946-2021-21-3-21-33