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Limit cases of reiteration theorems
Authors:Teresa Signes
Affiliation:Departamento de Matemática Aplicada, Facultad de Informática, Universidad de Murcia, Campus de Espinardo, Espinardo (Murcia), Spain
Abstract:We consider real interpolation methods defined by means of slowly varying functions and rearrangement invariant spaces, for which we present a collection of reiteration theorems for interpolation and extrapolation spaces. As an application we obtain interpolation formulas for Lorentz‐Karamata type spaces, for Zygmund spaces urn:x-wiley:dummy:media:mana201300251:equation:mana201300251-math-0001, urn:x-wiley:dummy:media:mana201300251:equation:mana201300251-math-0002 and for the grand and small Lebesgue spaces.
Keywords:Real interpolation  slowly varying functions  rearrangement invariant spaces  reiteration theorems  46B70  46E30  26A12
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