Multilinear measure theory and its applications
Abstract (summary)
The Grothendieck inequality and Grothendieck factorization theorem are fundamental tools in studying bimeasures. Motivated by Kwapien's theorem, we extend the Grothendieck inequality in a two-dimensional as well as a multidimensional framework.
Bimeasures appear naturally in the study of stochastic processes. We estimate the variations of bimeasures associated with a p-stable motion and a strongly stationary p-stable process. We also find analogues of these results for two-time processes and construct a p-stable motion.