Title of article :
Uniform Gateaux differentiability and weak uniform rotundity of Musielak–Orlicz function spaces
Original Research Article
Author/Authors :
Liu Li Fang، نويسنده , , Wang Ting Fu، نويسنده , , Henryk Hudzik، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2004
Abstract :
Criteria for uniform Gateaux differentiability and weak uniform rotundity of Musielak–Orlicz function spaces equipped with the Orlicz norm as well as the Luxemburg norm are presented. Interpretations of the criteria in the case of Orlicz spaces are given. It is worth noticing that criteria for the Luxemburg norm are different than for the Orlicz norm.
Keywords :
Musielak–Orlicz space , Orlicz space , Condition Delta two , Almost uniform convexity of Musielak–Orlicz function , Uniform Gateaux differentiability , Weak uniform rotundity , Luxemburg norm , Orlicz norm
Journal title :
Nonlinear Analysis Theory, Methods & Applications
Journal title :
Nonlinear Analysis Theory, Methods & Applications
