Abstract/Details

Multilinear measure theory and its applications


1991 1991

Other formats: Order a copy

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
Publication year
1991
Degree date
1991
School code
0056
Source
DAI-B 52/04, Dissertation Abstracts International
Place of publication
Ann Arbor
Country of publication
United States
Advisor
Blei, Ron C.
University/institution
University of Connecticut
University location
United States -- Connecticut
Degree
Ph.D.
Source type
Dissertations & Theses
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
http://search.proquest.com/docview/303953943/abstract
Access the complete full text

You can get the full text of this document if it is part of your institution's ProQuest subscription.

Try one of the following:

  • Connect to ProQuest through your library network and search for the document from there.
  • Request the document from your library.
  • Go to the ProQuest login page and enter a ProQuest or My Research username / password.