Strongly nonlinear potential theory on metric spaces.
Aïssaoui, Noureddine (2002)
Abstract and Applied Analysis
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Displaying similar documents to “A notion of Orlicz spaces for vector valued functions”
Strongly nonlinear potential theory on metric spaces.
On the uniformly normal structure of Orlicz spaces with Orlicz norm
Ting Fu Wang, Zhong Rui Shi (1993)
Commentationes Mathematicae Universitatis Carolinae
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We prove that in Orlicz spaces endowed with Orlicz norm the uniformly normal structure is equivalent to the reflexivity.
A new extension of Komlós' theorem in infinite dimensions. Application: Weak compactness in .
Saadoune, M. (1998)
Portugaliae Mathematica
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Weak uniform rotundity of Musielak--Orlicz spaces
Małgorzata Doman (1991)
Commentationes Mathematicae Universitatis Carolinae
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We give necessary and sufficient conditions for weak uniform rotundity of Musielak–Orlicz spaces with the Luxemburg norm. The result is a generalization of a theorem by Kami’nska and Kurc.
Topological dual of non-locally convex Orlicz-Bochner spaces
Marian Nowak (1999)
Commentationes Mathematicae Universitatis Carolinae
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Let be an Orlicz-Bochner space defined by an Orlicz function taking only finite values (not necessarily convex) over a -finite atomless measure space. It is proved that the topological dual of can be represented in the form: , where and denote the order continuous dual and the singular dual of respectively. The spaces , and are examined by means of the H. Nakano’s theory of conjugate modulars. (Studia Mathematica 31 (1968), 439–449). The well known results of the...