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.

Criteria for $k_{M} < \infty$ in Musielak-Orlicz spaces

Lianying Cao, Ting Fu Wang (2001)

Commentationes Mathematicae Universitatis Carolinae

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In this paper, some necessary and sufficient conditions for $sup {k_{x} : ∥ x ∥^{0} = 1} < \infty$ in Musielak-Orlicz function spaces as well as in Musielak-Orlicz sequence spaces are given.

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

Weak uniform rotundity of Musielak--Orlicz spaces

Smooth points of the unit sphere in Musielak-Orlicz function spaces equipped with the Luxemburg norm

Criteria for k M < ∞ in Musielak-Orlicz spaces

Criteria for $k_{M} < \infty$ in Musielak-Orlicz spaces