Boyd indices of Orlicz-Lorentz spaces

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Boyd indices of Orlicz-Lorentz spaces

Please use this identifier to cite or link to this item: http://hdl.handle.net/10355/9627

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Title: Boyd indices of Orlicz-Lorentz spaces
Author: Montgomery-Smith, Stephen, 1963-
Keywords: Matuszewska - Orlicz indices
Zippin indices
Maligranda question
Date: 2011-01-21
Abstract: Orlicz-Lorentz spaces provide a common generalization of Orlicz spaces and Lorentz spaces. In this paper, we investigate their Boyd indices. Bounds on the Boyd indices in terms of the Matuszewska-Orlicz indices of the defining functions are given. Also, we give an example to show that the Boyd indices and Zippin indices of an Orlicz-Lorentz space need not be equal, answering a question of Maligranda. Finally, we show how the Boyd indices are related to whether an Orlicz-Lorentz space is p-convex or q-concave.
URI: http://hdl.handle.net/10355/9627

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  • Mathematics publications (MU) [119]
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