Uniform Gateaux differentiability and weak uniform rotundity of Musielak-Orlicz function spaces.

DOI10.1016/j.na.2003.11.007zbMath1085.46009OpenAlexW2010780677MaRDI QIDQ1428632

Wang Ting Fu, Liu Li Fang, Henryk Hudzik

Publication date: 29 March 2004

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2003.11.007

zbMATH Keywords

Orlicz spaceLuxemburg normOrlicz normMusielak-Orlicz spaceuniform Gâteaux differentiabilityweak uniform rotundityalmost uniform convexity of Musielak-Orlicz functionsdelta two condition

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Fixed-point theorems (47H10) Geometry and structure of normed linear spaces (46B20) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (2)

Weak approximative compactness of hyperplane and Asplund property in Musielak-Orlicz-Bochner function spaces ⋮ Approximative compactness and full rotundity in Musielak--Orlicz spaces and Lorentz--Orlicz spaces

Cites Work

• Orlicz spaces and modular spaces
• Some basic properties of generalized Calderón-Lozanovskiĭ spaces
• Smoothness in Musielak-Orlicz spaces equipped with the Orlicz norm
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