uu.seUppsala University Publications
Change search
ReferencesLink to record
Permanent link

Direct link
Some scales of equivalent weight characterizations of Hardy´s inequality: the case q < p
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Applied mathematics.
2007 (English)In: Mathematical Inequalities & Applications, ISSN 1331-4343, Vol. 10, no 2, 267-279 p.Article in journal (Refereed) Published
Abstract [en]

We consider the weighted Hardy inequality                                                1/q                            1/p                                       q                      ∞                                       ∞                             x                                                                 f p (x)v(x)dx                               f (t)dt   u(x)dx       C                    0      0                                0for the case 0 < q < p < ∞, p > 1 . The weights u(x) and v(x) for which this inequalityholds for all f (x)    0 may be characterized by the Mazya-Rosin or by the Persson-Stepanovconditions. In this paper, we show that these conditions are not unique and can be supplementedby some continuous scales of conditions and we prove their equivalence. The results for the dualoperator which do not follow by duality when 0 < q < 1 are also given.

Place, publisher, year, edition, pages
2007. Vol. 10, no 2, 267-279 p.
Keyword [en]
integral inequalities, weighted Hardy’s inequality
National Category
URN: urn:nbn:se:uu:diva-13429OAI: oai:DiVA.org:uu-13429DiVA: diva2:41199
Available from: 2008-01-23 Created: 2008-01-23 Last updated: 2010-05-18Bibliographically approved

Open Access in DiVA

No full text

By organisation
Applied mathematics

Search outside of DiVA

GoogleGoogle Scholar
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

Total: 156 hits
ReferencesLink to record
Permanent link

Direct link