This article is cited 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 $E_{\varphi}$.

UDC: 517.518

Received: 23.08.2016

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2017, 61:12, 49–56

Bibliographic databases:

• 
•