文摘
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.