Abstract/Details

Multilinear measure theory and its applications

Her, Min. 
 University of Connecticut ProQuest Dissertations Publishing,  1991. 9128852.

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.

Indexing (details)


Subject
Mathematics
Classification
0405: Mathematics
Identifier / keyword
Pure sciences; bimeasures
Title
Multilinear measure theory and its applications
Author
Her, Min
Number of pages
66
Degree date
1991
School code
0056
Source
DAI-B 52/04, Dissertation Abstracts International
Place of publication
Ann Arbor
Country of publication
United States
ISBN
979-8-207-92723-7
Advisor
Blei, Ron C.
University/institution
University of Connecticut
University location
United States -- Connecticut
Degree
Ph.D.
Source type
Dissertation or Thesis
Language
English
Document type
Dissertation/Thesis
Dissertation/thesis number
9128852
ProQuest document ID
303953943
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
Document URL
https://www.proquest.com/docview/303953943/abstract