Abstract
A natural problem in interpolation theory is to find necessary and sufficient conditions for interpolation properties to hold among spaces of the same type. This paper serves to provide a solution for Mϕ spaces which appear in fundamental roles in classical interpolation theorems such as the Marcinkiewicz and Stein-Weiss theorems ([1], [2], [10]) as well as in the class of rearrangement invariant Banach function spaces ([6], [8]).
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Sharpley, R. (1974). Characterization of Intermediate Spaces of Mϕ Spaces. In: Butzer, P.L., Szőkefalvi-Nagy, B. (eds) Linear Operators and Approximation II / Lineare Operatoren und Approximation II. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale D’Analyse Numérique, vol 25. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5991-2_15
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DOI: https://doi.org/10.1007/978-3-0348-5991-2_15
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-5992-9
Online ISBN: 978-3-0348-5991-2
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