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We consider γ-weighted anchored and ANOVA spaces of functions with mixed first order partial derivatives bounded in a weighted Lp norm with 1≤p≤∞. The domain of the functions is Dd, where D⊆R is a bounded or unbounded interval. We provide conditions on the weights γ that guarantee that anchored and ANOVA spaces are equal (as sets of functions) and have equivalent norms with equivalence constants uniformly...
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