On a property of ϕ-variational modular spaces

Maligranda pointed out whether condition (B.1) is satisfied in the variational modular space \(X_{\rho}^{*}\) is an open problem. We will answer this open problem in \(X_{\rho}^{*\prime}\), a subspace of \(X_{\rho}^{*}\). As a consequence this modular space can \(X_{\rho}^{*\prime}\) be \(F\)-normed...

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Bibliographic Details
Main Authors: Jincai Wang, Chunyan Wu
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2010-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:http://www.opuscula.agh.edu.pl/vol30/2/art/opuscula_math_3015.pdf