Content area
Abstract
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.
Details
Title
Multilinear measure theory and its applications
Author
Her, Min
Year
1991
ISBN
979-8-207-92723-7
Source type
Dissertation or Thesis
Language of publication
English
ProQuest document ID
303953943
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
