Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Weighted multidimensional integral inequalities and applications
Luleå tekniska universitet.
1999 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

In this thesis some new weighted integral inequalities for monotone functions in higher dimensions are proved. These results extend previous results in one dimension, and also those in higher dimensions for particular choices of the weights (power weights, etc.). All inequalities are sharp. A new duality principle (of Sawyer type) over the cone of multidimensional monotone functions is proved and applied. Weighted Chebyshev type inequalities for monotone functions and modular inequalities in higher dimensions are proved. A new type of weighted function spaces are introduced. In particular these spaces generalize the classical Lebesgue spaces. The weights such that they become quasi-Banach spaces are completely characterized. A multidimensional multiplicative inequality (of Carlson type) for weighted Lebesgue spaces with homogeneous weights is proved and applied. The inequality is sharp and all cases of equality are pointed out.

Place, publisher, year, edition, pages
Luleå: Luleå tekniska universitet, 1999. , 134 p.
Series
Doctoral thesis / Luleå University of Technology 1 jan 1997 → …, ISSN 1402-1544 ; 1999:30
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-25937Local ID: bca8abc0-7630-11db-962b-000ea68e967bOAI: oai:DiVA.org:ltu-25937DiVA: diva2:999095
Note
Godkänd; 1999; 20061117 (haneit)Available from: 2016-09-30 Created: 2016-09-30Bibliographically approved

Open Access in DiVA

fulltext(37392 kB)23 downloads
File information
File name FULLTEXT01.pdfFile size 37392 kBChecksum SHA-512
a18c8dfde372badd487a436fde850652ec79b9b320e041e28990d364e2ad8d604a2b4fed42315d25ea811d3f8d5e7fa21f3feaaed048b27b8a25556366a10f18
Type fulltextMimetype application/pdf

Mathematical Analysis

Search outside of DiVA

GoogleGoogle Scholar
Total: 23 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

urn-nbn

Altmetric score

urn-nbn
Total: 29 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf