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Weak uniform rotundity of Musielak--Orlicz spaces

Małgorzata Doman (1991)

Commentationes Mathematicae Universitatis Carolinae

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.

Weighted norm inequalities on spaces of homogeneous type

Qiyu Sun (1992)

Studia Mathematica

We give a characterization of the weights (u,w) for which the Hardy-Littlewood maximal operator is bounded from the Orlicz space L_Φ(u) to L_Φ(w). We give a characterization of the weight functions w (respectively u) for which there exists a nontrivial u (respectively w > 0 almost everywhere) such that the Hardy-Littlewood maximal operator is bounded from the Orlicz space L_Φ(u) to L_Φ(w).

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