Intersections and algebraic sums of Musielak-Orlicz spaces
Hudzik, H. (1981)
Portugaliae mathematica
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Hudzik, H. (1981)
Portugaliae mathematica
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S. Chen, Henryk Hudzik (1988)
Commentationes Mathematicae Universitatis Carolinae
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Fatiha Boulahia, Mohamed Morsli (2010)
Commentationes Mathematicae Universitatis Carolinae
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We characterize the uniform non-squareness and the property of Besicovitch-Orlicz spaces of almost periodic functions equipped with Orlicz 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.
Grzegorz Lewicki (1997)
Collectanea Mathematica
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In this note we present an affirmative answer to the problem posed by M. Baronti and C. Franchetti (oral communication) concerning a characterization of Lp-spaces among Orlicz sequence spaces. In fact, we show a more general characterization of Orlicz spaces isometric to Lp-spaces.
Tomasz Szostok (2011)
Banach Center Publications
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In Orlicz spaces theory some strengthened version of the Jensen inequality is often used to obtain nice geometrical properties of the Orlicz space generated by the Orlicz function satisfying this inequality. Continuous functions satisfying the classical Jensen inequality are just convex which means that such functions may be described geometrically in the following way: a segment joining every pair of points of the graph lies above the graph of such a function. In the current paper we...
Randrianantoanina, Beata (2004)
Abstract and Applied Analysis
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