Comparison of Orlicz-Lorentz spaces
Montgomery-Smith, S.
Studia Mathematica, Tome 103 (1992), p. 161-189 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 1992-01-01
EUDML-ID : urn:eudml:doc:215943 
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Montgomery-Smith, S. Comparison of Orlicz-Lorentz spaces. Studia Mathematica, Tome 103 (1992) pp. 161-189. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv103i2p161bwm/

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