On a property of φ-variational modular spaces

Jincai Wang, Chunyan Wu
2010 Opuscula Mathematica  
Maligranda pointed out whether condition (B.1) is satisfied in the variational modular space X * ρ is an open problem. We will answer this open problem in X * ρ ′ , a subspace of X * ρ . As a consequence this modular space X * ρ ′ can be F -normed.
doi:10.7494/opmath.2010.30.2.209 fatcat:gvljtjpzojd4nbm4v5luqo423y