An equivalence theorem for some integral conditions with general measures related to Hardy´s inequality
2007 (English)In: Journal of Mathematical Analysis and Applications, ISSN 0022-247X, E-ISSN 1096-0813, Vol. 326, no 1, 398-413 p.Article in journal (Refereed) Published
It is proved that, besides the usual Muckenhoupt condition, there exist four different scales of conditions for characterizing the Hardy type inequality with general measures for the case 1<pq<∞. In fact, an even more general equivalence theorem of independent interest is proved and discussed.
Place, publisher, year, edition, pages
2007. Vol. 326, no 1, 398-413 p.
Inequalities, Hardy's inequality, Discrete Hardy's inequality, Hardy operator, Hardy's inequality with general measures, Scales of characterizations, Weight functions, Weight sequences, Equivalent integral conditions, Comparisons
IdentifiersURN: urn:nbn:se:uu:diva-13430DOI: 10.1016/j.jmaa.2006.03.015OAI: oai:DiVA.org:uu-13430DiVA: diva2:41200