Change search
ReferencesLink to record
Permanent link

Direct link
On an elementary approach to the fractional Hardy inequality
LuleƄ University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
2000 (English)In: Proceedings of the American Mathematical Society, ISSN 0002-9939, E-ISSN 1088-6826, Vol. 128, no 3, 727-734 p.Article in journal (Refereed) Published
Abstract [en]

Let be the usual Hardy operator, i.e., . We prove that the operator is bounded and has a bounded inverse on the weighted spaces for -1$" type="#_x005F_x0000_t75">and . Moreover, by using these inequalities we derive a somewhat generalized form of some well-known fractional Hardy type inequalities and also of a result due to Bennett-DeVore-Sharpley, where the usual Lorentz norm is replaced by an equivalent expression. Examples show that the restrictions in the theorems are essential.

Place, publisher, year, edition, pages
2000. Vol. 128, no 3, 727-734 p.
Research subject
URN: urn:nbn:se:ltu:diva-7835DOI: 10.1090/S0002-9939-99-05420-9Local ID: 6419a300-a575-11db-9811-000ea68e967bOAI: diva2:980725
Validerad; 2000; 20070110 (kani)Available from: 2016-09-29 Created: 2016-09-29Bibliographically approved

Open Access in DiVA

fulltext(217 kB)1 downloads
File information
File name FULLTEXT01.pdfFile size 217 kBChecksum SHA-512
Type fulltextMimetype application/pdf

Other links

Publisher's full text

Search in DiVA

By author/editor
Kruglyak, NatanMaligranda, LechPersson, Lars-Erik
By organisation
Mathematical Science
In the same journal
Proceedings of the American Mathematical Society

Search outside of DiVA

GoogleGoogle Scholar
Total: 1 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

Altmetric score

Total: 1 hits
ReferencesLink to record
Permanent link

Direct link