Iterating bilinear Hardy inequalities
2017 (English)In: Proceedings of the Edinburgh Mathematical Society, ISSN 0013-0915, E-ISSN 1464-3839Article in journal (Refereed) Published
An iteration technique to characterize boundedness of certain types of multilinear operators is presented, reducing the problem into a corresponding linear-operator case. The method gives a simple proof of a characterization of validity of a bilinear Hardy inequality in the weighted Lebesgue space setting. More equivalent characterizing conditions are presented. The same technique is applied to various further problems, in particular those involving multilinear integral operators of Hardy type.
Place, publisher, year, edition, pages
Hardy operators; bilinear operators; weights; operator inequalities
IdentifiersURN: urn:nbn:se:kau:diva-41238DOI: 10.1017/S0013091516000602OAI: oai:DiVA.org:kau-41238DiVA: diva2:917025