  We study embeddings and norm estimates for tensor products of weighted
reproducing kernel Hilbert spaces. These results lead to a transfer principle
that is directly applicable to tractability studies of multivariate problems as
integration and approximation, and to their infinite-dimensional counterparts.
In an application we consider weighted tensor product Sobolev spaces of mixed
smoothness of any integer order, equipped with the classical, the anchored, or
the ANOVA norm. Here we derive new results for multivariate and
infinite-dimensional integration.

Numerical Analysis