1990Bulletin of the Australian Mathematical SocietyOpen access

On uniformly bounded sequences in Orlicz spaces

Erik J. Balder

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Abstract

A useful result for uniformly bounded sequences of functions in Orlicz spaces is generalised by means of a recent extension of Komlós' theorem. The same generalisation can also be proven differently, by means of Young measures.

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A useful result for uniformly bounded sequences of functions in Orlicz spaces is generalised by means of a recent extension of Komlós' theorem. The same generalisation can also be proven differently, by means of Young measures.

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Available abstract

A useful result for uniformly bounded sequences of functions in Orlicz spaces is generalised by means of a recent extension of Komlós' theorem. The same generalisation can also be proven differently, by means of Young measures.

Key concepts: Mathematics, Bounded function, Extension (predicate logic), Uniform boundedness, Pure mathematics, Bounded deformation, Discrete mathematics, Mathematical analysis

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