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2016

Equivalence of anchored and ANOVA spaces via interpolation

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Equivalence of anchored and ANOVA spaces via interpolation
We consider weighted anchored and ANOVA spaces of functions with first order mixed derivatives bounded in Lp. Recently, Hefter, Ritter and Wasilkowski established conditions on the weights in the cases p = 1 and p = ∞ 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 p ∈ [1, ∞]. It is shown how this can be achieved via interpolation. MSC: 65D30,65Y20,41A63,41A55
Aicke Hinrichs, Jan Schneider
Added 06 Apr 2016
Updated 06 Apr 2016
Type Journal
Year 2016
Where JC
Authors Aicke Hinrichs, Jan Schneider
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