Interpolation of several multiparametric approximation spaces |
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Authors: | I Asekritova Yu Brudnyi |
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Institution: | a Vaxjo University, 351 95, Vaxjo, Sweden;b Department of Mathematics, Technion–Israel Institute of Technology, 32000, Haifa, Israel |
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Abstract: | We prove a general interpolation theorem for linear operators acting simultaneously in several approximation spaces which are defined by multiparametric approximation families. As a consequence, we obtain interpolation results for finite families of Besov spaces of various types including those determined by a given set of mixed differences. |
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