Composition operators on Musielak-Orlicz spaces of Bochner type

Kuldip Raj; Sunil K. Sharma

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Displaying similar documents to “Composition operators on Musielak-Orlicz spaces of Bochner type”

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 $L_{ϕ}$ with the Luxemburg norm. The result is a generalization of a theorem by Kami’nska and Kurc.

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.