On some convexities of Orlicz and Orlicz-Bochner spaces
S. Chen, Henryk Hudzik (1988)
Commentationes Mathematicae Universitatis Carolinae
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Displaying similar documents to “On some convexity properties of Orlicz spaces of vector valued functions.”
On some convexities of Orlicz and Orlicz-Bochner spaces
Intersections and algebraic sums of Musielak-Orlicz spaces
Hudzik, H. (1981)
Portugaliae mathematica
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On property (β) of Rolewicz in Musielak-Orlicz sequence spaces equipped with the Orlicz norm
Paweł Kolwicz (2005)
Banach Center Publications
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We prove that the Musielak-Orlicz sequence space with the Orlicz norm has property (β) iff it is reflexive. It is a generalization and essential extension of the respective results from [3] and [5]. Moreover, taking an arbitrary Musielak-Orlicz function instead of an N-function we develop new methods and techniques of proof and we consider a wider class of spaces than in [3] and [5].
On W*UR point and UR point of Orlicz spaces with Orlicz norm.
Ting Fu Wang, Zhong Rui Shi, Quan Di Wang (1993)
Collectanea Mathematica
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For Orlicz spaces with Orlicz norm, a criterion of W*UR point is given, and previous results about UR points and WUR points are amended.
The Orlicz type theorem for differential-integral equations with a lagging argument
Michał Kisielewicz (1975)
Annales Polonici Mathematici
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Roughness of two norms on Musielak-Orlicz function spaces
Jimin Zheng, Lihuan Sun, Yun'an Cui (2008)
Banach Center Publications
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In this paper, the criteria of strong roughness, roughness and pointwise roughness of Orlicz norm and Luxemburg norm on Musielak-Orlicz function spaces are obtained.
Władysław Orlicz (1903-1990). A biography
Lech Maligranda, Witold Wnuk (2004)
Banach Center Publications
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Smooth points of the unit sphere in Musielak-Orlicz function spaces equipped with the Luxemburg norm
Zenon Zbąszyniak (1994)
Commentationes Mathematicae Universitatis Carolinae
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There is given a criterion for an arbitrary element from the unit sphere of Musielak-Orlicz function space equipped with the Luxemburg norm to be a point of smoothness. Next, as a corollary, a criterion of smoothness of these spaces is given.