Stephen Montgomery-Smith, Boyd Indices of Orlicz-Lorentz Spaces. Function Spaces, The Second Conference, Ed: K. Jarosz, 321-334, Marcel Dekker, New York, 1995. 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. (tex, dvi, ps, pdf. The LaTeX file also requires the file homegrownmarcdek.sty.)


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