On an elementary approach to the fractional Hardy inequality
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
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 Mathematics
IdentifiersURN: urn:nbn:se:ltu:diva-7835DOI: 10.1090/S0002-9939-99-05420-9Local ID: 6419a300-a575-11db-9811-000ea68e967bOAI: oai:DiVA.org:ltu-7835DiVA: diva2:980725
Validerad; 2000; 20070110 (kani)2016-09-292016-09-29Bibliographically approved