FoCM 2014 conference

Workshop B5 - Information Based Complexity

December 15, 15:30 ~ 16:00 - Room B23

## $L_p$-spaces in the anchored and ANOVA setting

### Johannes Kepler University Linz, Austria   -   aicke.hinrichs@jku.at

We extend the recent investigation of G. Wasilkowski on the equivalence of weighted anchored and ANOVA $L_1$ and $L_\infty$ norms of function spaces with mixed partial derivatives of order one. Among other norms, we consider $L_p$ norms for $1\le p\le \infty$ and confirm the conjecture that for product weights, summability of the weight sequence is necessary and sufficient.

Joint work with Jan Schneider (University of Rostock, Germany).