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Comparison of Orlicz-Lorentz spaces

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J. Montgomery-Smith S.

Studia Mathematica

1992

tom 103

nr 2

161-189

Orlicz-Lorentz spaces provide a common generalization of Orlicz spaces and Lorentz spaces. They have been studied by many authors, including Mastyło, Maligranda, and Kamińska. In this paper, we consider the problem of comparing the Orlicz-Lorentz norms, and establish necessary and sufficient conditions for them to be equivalent. As a corollary, we give necessary and sufficient conditions for a Lorentz-Sharpley space to be equivalent to an Orlicz space, extending results of Lorentz and Raynaud. We also give an example of a rearrangement invariant space that is not an Orlicz-Lorentz space.

Ograniczanie wyników

1 Studia Mathematica

1 J. Montgomery-Smith S.

1 1992

Wyniki wyszukiwania

Comparison of Orlicz-Lorentz spaces