Abstract
A brief survey is here given concerning the various types of indices of rearrangement invariant function spaces appearing in the literature. In particular, Boyd indices, fundamental indices, and exponents of Young functions are considered. Then it is shown how the treatment of these different kinds of indices can be unified by deriving them, together with their main properties, from one basic principle on exponents of submultiplicative functions; these functions are defined in terms of a functional inequality.
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© 1983 Springer Basel AG
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Fehér, F. (1983). Exponents of Submultiplicative Functions and Function Spaces. In: Beckenbach, E.F., Walter, W. (eds) General Inequalities 3. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 64. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6290-5_37
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DOI: https://doi.org/10.1007/978-3-0348-6290-5_37
Publisher Name: Birkhäuser, Basel
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