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Название: Function Spaces, 3 intern. conf. to the memory of W.Orlicz, Poznan, 1992
Автор: Musielak J.
In this paper we show that the ball measure of non-compactness of a norm
bounded subset of an Orlicz modular space Lψ is equal to the limit of its
n-widths. We also obtain several inequalities between the measures of noncompactness and the limit of the n-widths for modular bounded subsets of Lψ
which do not have ∆2-condition. Minimum conditions onψ to have such results
are specified and an example of such a function ψ is provided.