FoCM 2014 conference

Workshop B5 - Information Based Complexity

December 15, 15:00 ~ 15:30 - Room B23

On equivalence of anchored and ANOVA spaces of multivariate functions

University of Kaiserslautern, USA   -   hefter@mathematik.uni-kl.de

We consider anchored and ANOVA spaces of functions with mixed first order partial derivatives bounded in $L_1$ and $L_\infty$ norms. The spaces are weighted and we provide necessary and sufficient conditions so that the corresponding spaces have equivalent norms with constants independent of the number of variables. This includes the case of countably many variables.

Joint work with Grzegorz Wasilkowski.