Equivalence of anchored and ANOVA spaces via interpolation |
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Institution: | 1. Institut für Analysis, Johannes Kepler Universität Linz, Altenberger Str. 69, 4040 Linz, Austria;2. Institut für Mathematik, Friedrich Schiller Universität Jena, Ernst-Abbe-Platz 2, 07743 Jena, Germany |
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Abstract: | We consider weighted anchored and ANOVA spaces of functions with first order mixed derivatives bounded in . Recently, Hefter, Ritter and Wasilkowski established conditions on the weights in the cases and which ensure equivalence of the corresponding norms uniformly in the dimension or only polynomially dependent on the dimension. We extend these results to the whole range of . It is shown how this can be achieved via interpolation. |
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Keywords: | ANOVA decomposition Anchored decomposition Norm equivalences |
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