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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, Number 12, Pages 57–65
(Mi ivm9309)
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This article is cited in 1 scientific paper (total in 1 paper)
Multimodular spaces and their properties
V. I. Filippov Saratov Social-Economic Institute (branch)
of Plekhanov Russian University of Economics,
89 Radishcheva str., Saratov, 410003 Russia
Abstract:
We introduce the so-called multimodular spaces and their particular cases. These investigations generalize some definitions and theorems obtained by S. Mazur, W. Orlicz and J. Muzielak.
Keywords:
modular spaces, multimodular spaces, generalized Orlicz spaces and classes, spaces $E_{\varphi}$.
Received: 23.08.2016
Citation:
V. I. Filippov, “Multimodular spaces and their properties”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 12, 57–65; Russian Math. (Iz. VUZ), 61:12 (2017), 49–56
Linking options:
https://www.mathnet.ru/eng/ivm9309 https://www.mathnet.ru/eng/ivm/y2017/i12/p57
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Abstract page: | 149 | Full-text PDF : | 42 | References: | 28 | First page: | 9 |
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