Limit cases of reiteration theorems |
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Authors: | Teresa Signes |
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Affiliation: | Departamento de Matemática Aplicada, Facultad de Informática, Universidad de Murcia, Campus de Espinardo, Espinardo (Murcia), Spain |
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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 , and for the grand and small Lebesgue spaces. |
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Keywords: | Real interpolation slowly varying functions rearrangement invariant spaces reiteration theorems 46B70 46E30 26A12 |
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