Comparison of Orlicz-Lorentz spaces

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Comparison of Orlicz-Lorentz spaces

Please use this identifier to cite or link to this item: http://hdl.handle.net/10355/9697

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Title: Comparison of Orlicz-Lorentz spaces
Author: Montgomery-Smith, Stephen, 1963-
Keywords: Vector space
Date: 2011-01-25
Abstract: Orlicz-Lorentz spaces provide a common generalization of Orlicz spaces and Lorentz spaces. They have been studied by many authors, including Mastylo, Maligranda, and Kaminska. 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.
URI: http://hdl.handle.net/10355/9697

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  • Mathematics publications (MU) [119]
    The items in this collection are the scholarly output of the faculty, staff, and students of the Department of Mathematics.

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