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Modular functional spaces

P. 40–43.
Vyacheslav V. Chistyakov

We show how modulars in our sense generate functional spaces, which turn out to be interrelated in a more closer sense than can be possibly seen from their classical definitions.

Language: English
Full text
Keywords: modularмодуляраfunctional spaceфункциональное пространство
Publication based on the results of:
Модулярные пространства, являющиеся модулярно полными (Modular spaces that are modular complete) (2017)

In book

International Conference on Geometric Analysis in honor of the 90th anniversary of academician Yu.G.Reshetnyak
Novosibirsk: PPC NSU, 2019.
Similar publications
Модулярно родственные функциональные пространства
В.В.Чистяков, В кн.: Труды Математического центра имени Н.И.Лобачевского. Т.60 // Материалы Международной конференции по алгебре, анализу и геометрии 2021.: Каз.: Издательство Академии наук Республики Татарстан, 2021. С. 330–332.
Приводятся новые результаты о модулярных функциональных пространствах. ...
Added: August 27, 2021
О свойствах модулярных пространств
В.В.Чистяков, В кн.: Труды Математического центра имени Н.И.ЛобачевскогоТ. 54: Теория функций, ее приложения и смежные вопросы.: Каз.: Издательство Казанского математического общества и Академии наук РТ, 2017. С. 394–398.
We present basic concepts of the theory of modular spaces on arbitrary sets, which extends simultaneously the theory of such spaces on linear sets and the theory of metric spaces. We study the relationship between (three) modular spaces and metrics on them in the convex and nonconvex cases. We define the modular notions of convergence, topology and completeness. We ...
Added: August 31, 2017
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