Opuscula Math. 30, no. 2 (2010), 209-215
On a property of ϕ-variational modular spaces
Jincai Wang
Chunyan Wu
Abstract.
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.
Keywords:
condition (B.1), modular, \(\phi\) -function, \(\phi\) -variation.
Mathematics Subject Classification:
46A80, 46E30.
About the authors ▼
Jincai Wang
Suzhou University, Department of Mathematics, Suzhou, 215006 P.R. China
Chunyan Wu
Suzhou University, Department of Mathematics, Suzhou, 215006 P.R. China
About the article ▼
Received: 2009-11-02.
Revised: 2010-01-15.
Accepted: 2010-01-18.
Cite this article as ▼
Jincai Wang, Chunyan Wu, On a property of ϕ-variational modular spaces, Opuscula Math. 30, no. 2 (2010), 209-215,
http://dx.doi.org/10.7494/OpMath.2010.30.2.209.
Download this article's citation as: