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Equivalence of K- and J-methods for limiting real interpolation spaces
Authors:Fernando Cobos,Thomas Kü  hn
Affiliation:a Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad Complutense de Madrid, Plaza de Ciencias 3, 28040 Madrid, Spain
b Mathematisches Institut, Fakultät für Mathematik und Informatik, Universität Leipzig, Johannisgasse 26, D-04103 Leipzig, Germany
Abstract:We consider limiting real interpolation spaces defined by using powers of iterated logarithms and show their description by means of the J-functional. Our results allow to complement some estimates on approximation of stochastic integrals.
Keywords:Limiting interpolation spaces   J-functional   K-functional   Lorentz-Zygmund spaces   Besov spaces
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