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Модулярно родственные функциональные пространства

С. 330–332.
В.В.Чистяков
Language: Russian
Full text
Keywords: modularмодуляра

In book

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.
Similar publications
Modular functional spaces
Vyacheslav V. Chistyakov, , in: International Conference on Geometric Analysis in honor of the 90th anniversary of academician Yu.G.Reshetnyak.: Novosibirsk: PPC NSU, 2019. P. 40–43.
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. ...
Added: October 2, 2019
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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