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Boyd Indices of Orlicz-Lorentz Space

Stephen J. Montgomery-Smith
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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.

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Stephen J. Montgomery-Smith. 1999-12-06. Boyd Indices of Orlicz-Lorentz Space. https://arxiv.org/abs/math/9412215

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